On the ‘Stationary Implies Axisymmetric’ Theorem for Extremal Black Holes in Higher Dimensions
Abstract All known stationary black hole solutions in higher dimensions possess additional rotational symmetries in addition to the stationary Killing field. Also, for all known stationary solutions, the event horizon is a Killing horizon, and the surface gravity is constant. In the case of non-dege...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Hollands, Stefan [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2009 |
|---|
| Schlagwörter: |
|---|
| Anmerkung: |
© Springer-Verlag 2009 |
|---|
| Übergeordnetes Werk: |
Enthalten in: Communications in mathematical physics - Springer-Verlag, 1965, 291(2009), 2 vom: 12. Juni, Seite 443-471 |
|---|---|
| Übergeordnetes Werk: |
volume:291 ; year:2009 ; number:2 ; day:12 ; month:06 ; pages:443-471 |
| Links: |
|---|
| DOI / URN: |
10.1007/s00220-009-0841-1 |
|---|
| Katalog-ID: |
OLC2038896941 |
|---|
| LEADER | 01000caa a22002652 4500 | ||
|---|---|---|---|
| 001 | OLC2038896941 | ||
| 003 | DE-627 | ||
| 005 | 20230323202741.0 | ||
| 007 | tu | ||
| 008 | 200819s2009 xx ||||| 00| ||eng c | ||
| 024 | 7 | |a 10.1007/s00220-009-0841-1 |2 doi | |
| 035 | |a (DE-627)OLC2038896941 | ||
| 035 | |a (DE-He213)s00220-009-0841-1-p | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 082 | 0 | 4 | |a 530 |a 510 |q VZ |
| 100 | 1 | |a Hollands, Stefan |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a On the ‘Stationary Implies Axisymmetric’ Theorem for Extremal Black Holes in Higher Dimensions |
| 264 | 1 | |c 2009 | |
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a ohne Hilfsmittel zu benutzen |b n |2 rdamedia | ||
| 338 | |a Band |b nc |2 rdacarrier | ||
| 500 | |a © Springer-Verlag 2009 | ||
| 520 | |a Abstract All known stationary black hole solutions in higher dimensions possess additional rotational symmetries in addition to the stationary Killing field. Also, for all known stationary solutions, the event horizon is a Killing horizon, and the surface gravity is constant. In the case of non-degenerate horizons (non-extremal black holes), a general theorem was previously established [24] proving that these statements are in fact generally true under the assumption that the spacetime is analytic, and that the metric satisfies Einstein’s equation. Here, we extend the analysis to the case of degenerate (extremal) black holes. It is shown that the theorem still holds true if the vector of angular velocities of the horizon satisfies a certain “diophantine condition,” which holds except for a set of measure zero. | ||
| 650 | 4 | |a Black Hole | |
| 650 | 4 | |a Event Horizon | |
| 650 | 4 | |a Black Hole Solution | |
| 650 | 4 | |a Black Ring | |
| 650 | 4 | |a Extremal Black Hole | |
| 700 | 1 | |a Ishibashi, Akihiro |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Communications in mathematical physics |d Springer-Verlag, 1965 |g 291(2009), 2 vom: 12. Juni, Seite 443-471 |w (DE-627)129555002 |w (DE-600)220443-5 |w (DE-576)015011755 |x 0010-3616 |7 nnns |
| 773 | 1 | 8 | |g volume:291 |g year:2009 |g number:2 |g day:12 |g month:06 |g pages:443-471 |
| 856 | 4 | 1 | |u https://doi.org/10.1007/s00220-009-0841-1 |z lizenzpflichtig |3 Volltext |
| 912 | |a GBV_USEFLAG_A | ||
| 912 | |a SYSFLAG_A | ||
| 912 | |a GBV_OLC | ||
| 912 | |a SSG-OLC-PHY | ||
| 912 | |a SSG-OLC-MAT | ||
| 912 | |a SSG-OPC-MAT | ||
| 912 | |a GBV_ILN_22 | ||
| 912 | |a GBV_ILN_30 | ||
| 912 | |a GBV_ILN_40 | ||
| 912 | |a GBV_ILN_70 | ||
| 912 | |a GBV_ILN_2002 | ||
| 912 | |a GBV_ILN_2006 | ||
| 912 | |a GBV_ILN_2018 | ||
| 912 | |a GBV_ILN_2088 | ||
| 912 | |a GBV_ILN_2279 | ||
| 912 | |a GBV_ILN_2409 | ||
| 912 | |a GBV_ILN_4266 | ||
| 912 | |a GBV_ILN_4277 | ||
| 912 | |a GBV_ILN_4305 | ||
| 912 | |a GBV_ILN_4307 | ||
| 912 | |a GBV_ILN_4317 | ||
| 912 | |a GBV_ILN_4318 | ||
| 912 | |a GBV_ILN_4319 | ||
| 951 | |a AR | ||
| 952 | |d 291 |j 2009 |e 2 |b 12 |c 06 |h 443-471 | ||
| author_variant |
s h sh a i ai |
|---|---|
| matchkey_str |
article:00103616:2009----::nhsainripisxsmerchoefrxrmllchl |
| hierarchy_sort_str |
2009 |
| publishDate |
2009 |
| allfields |
10.1007/s00220-009-0841-1 doi (DE-627)OLC2038896941 (DE-He213)s00220-009-0841-1-p DE-627 ger DE-627 rakwb eng 530 510 VZ Hollands, Stefan verfasserin aut On the ‘Stationary Implies Axisymmetric’ Theorem for Extremal Black Holes in Higher Dimensions 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2009 Abstract All known stationary black hole solutions in higher dimensions possess additional rotational symmetries in addition to the stationary Killing field. Also, for all known stationary solutions, the event horizon is a Killing horizon, and the surface gravity is constant. In the case of non-degenerate horizons (non-extremal black holes), a general theorem was previously established [24] proving that these statements are in fact generally true under the assumption that the spacetime is analytic, and that the metric satisfies Einstein’s equation. Here, we extend the analysis to the case of degenerate (extremal) black holes. It is shown that the theorem still holds true if the vector of angular velocities of the horizon satisfies a certain “diophantine condition,” which holds except for a set of measure zero. Black Hole Event Horizon Black Hole Solution Black Ring Extremal Black Hole Ishibashi, Akihiro aut Enthalten in Communications in mathematical physics Springer-Verlag, 1965 291(2009), 2 vom: 12. Juni, Seite 443-471 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:291 year:2009 number:2 day:12 month:06 pages:443-471 https://doi.org/10.1007/s00220-009-0841-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 AR 291 2009 2 12 06 443-471 |
| spelling |
10.1007/s00220-009-0841-1 doi (DE-627)OLC2038896941 (DE-He213)s00220-009-0841-1-p DE-627 ger DE-627 rakwb eng 530 510 VZ Hollands, Stefan verfasserin aut On the ‘Stationary Implies Axisymmetric’ Theorem for Extremal Black Holes in Higher Dimensions 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2009 Abstract All known stationary black hole solutions in higher dimensions possess additional rotational symmetries in addition to the stationary Killing field. Also, for all known stationary solutions, the event horizon is a Killing horizon, and the surface gravity is constant. In the case of non-degenerate horizons (non-extremal black holes), a general theorem was previously established [24] proving that these statements are in fact generally true under the assumption that the spacetime is analytic, and that the metric satisfies Einstein’s equation. Here, we extend the analysis to the case of degenerate (extremal) black holes. It is shown that the theorem still holds true if the vector of angular velocities of the horizon satisfies a certain “diophantine condition,” which holds except for a set of measure zero. Black Hole Event Horizon Black Hole Solution Black Ring Extremal Black Hole Ishibashi, Akihiro aut Enthalten in Communications in mathematical physics Springer-Verlag, 1965 291(2009), 2 vom: 12. Juni, Seite 443-471 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:291 year:2009 number:2 day:12 month:06 pages:443-471 https://doi.org/10.1007/s00220-009-0841-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 AR 291 2009 2 12 06 443-471 |
| allfields_unstemmed |
10.1007/s00220-009-0841-1 doi (DE-627)OLC2038896941 (DE-He213)s00220-009-0841-1-p DE-627 ger DE-627 rakwb eng 530 510 VZ Hollands, Stefan verfasserin aut On the ‘Stationary Implies Axisymmetric’ Theorem for Extremal Black Holes in Higher Dimensions 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2009 Abstract All known stationary black hole solutions in higher dimensions possess additional rotational symmetries in addition to the stationary Killing field. Also, for all known stationary solutions, the event horizon is a Killing horizon, and the surface gravity is constant. In the case of non-degenerate horizons (non-extremal black holes), a general theorem was previously established [24] proving that these statements are in fact generally true under the assumption that the spacetime is analytic, and that the metric satisfies Einstein’s equation. Here, we extend the analysis to the case of degenerate (extremal) black holes. It is shown that the theorem still holds true if the vector of angular velocities of the horizon satisfies a certain “diophantine condition,” which holds except for a set of measure zero. Black Hole Event Horizon Black Hole Solution Black Ring Extremal Black Hole Ishibashi, Akihiro aut Enthalten in Communications in mathematical physics Springer-Verlag, 1965 291(2009), 2 vom: 12. Juni, Seite 443-471 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:291 year:2009 number:2 day:12 month:06 pages:443-471 https://doi.org/10.1007/s00220-009-0841-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 AR 291 2009 2 12 06 443-471 |
| allfieldsGer |
10.1007/s00220-009-0841-1 doi (DE-627)OLC2038896941 (DE-He213)s00220-009-0841-1-p DE-627 ger DE-627 rakwb eng 530 510 VZ Hollands, Stefan verfasserin aut On the ‘Stationary Implies Axisymmetric’ Theorem for Extremal Black Holes in Higher Dimensions 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2009 Abstract All known stationary black hole solutions in higher dimensions possess additional rotational symmetries in addition to the stationary Killing field. Also, for all known stationary solutions, the event horizon is a Killing horizon, and the surface gravity is constant. In the case of non-degenerate horizons (non-extremal black holes), a general theorem was previously established [24] proving that these statements are in fact generally true under the assumption that the spacetime is analytic, and that the metric satisfies Einstein’s equation. Here, we extend the analysis to the case of degenerate (extremal) black holes. It is shown that the theorem still holds true if the vector of angular velocities of the horizon satisfies a certain “diophantine condition,” which holds except for a set of measure zero. Black Hole Event Horizon Black Hole Solution Black Ring Extremal Black Hole Ishibashi, Akihiro aut Enthalten in Communications in mathematical physics Springer-Verlag, 1965 291(2009), 2 vom: 12. Juni, Seite 443-471 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:291 year:2009 number:2 day:12 month:06 pages:443-471 https://doi.org/10.1007/s00220-009-0841-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 AR 291 2009 2 12 06 443-471 |
| allfieldsSound |
10.1007/s00220-009-0841-1 doi (DE-627)OLC2038896941 (DE-He213)s00220-009-0841-1-p DE-627 ger DE-627 rakwb eng 530 510 VZ Hollands, Stefan verfasserin aut On the ‘Stationary Implies Axisymmetric’ Theorem for Extremal Black Holes in Higher Dimensions 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2009 Abstract All known stationary black hole solutions in higher dimensions possess additional rotational symmetries in addition to the stationary Killing field. Also, for all known stationary solutions, the event horizon is a Killing horizon, and the surface gravity is constant. In the case of non-degenerate horizons (non-extremal black holes), a general theorem was previously established [24] proving that these statements are in fact generally true under the assumption that the spacetime is analytic, and that the metric satisfies Einstein’s equation. Here, we extend the analysis to the case of degenerate (extremal) black holes. It is shown that the theorem still holds true if the vector of angular velocities of the horizon satisfies a certain “diophantine condition,” which holds except for a set of measure zero. Black Hole Event Horizon Black Hole Solution Black Ring Extremal Black Hole Ishibashi, Akihiro aut Enthalten in Communications in mathematical physics Springer-Verlag, 1965 291(2009), 2 vom: 12. Juni, Seite 443-471 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:291 year:2009 number:2 day:12 month:06 pages:443-471 https://doi.org/10.1007/s00220-009-0841-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 AR 291 2009 2 12 06 443-471 |
| language |
English |
| source |
Enthalten in Communications in mathematical physics 291(2009), 2 vom: 12. Juni, Seite 443-471 volume:291 year:2009 number:2 day:12 month:06 pages:443-471 |
| sourceStr |
Enthalten in Communications in mathematical physics 291(2009), 2 vom: 12. Juni, Seite 443-471 volume:291 year:2009 number:2 day:12 month:06 pages:443-471 |
| format_phy_str_mv |
Article |
| institution |
findex.gbv.de |
| topic_facet |
Black Hole Event Horizon Black Hole Solution Black Ring Extremal Black Hole |
| dewey-raw |
530 |
| isfreeaccess_bool |
false |
| container_title |
Communications in mathematical physics |
| authorswithroles_txt_mv |
Hollands, Stefan @@aut@@ Ishibashi, Akihiro @@aut@@ |
| publishDateDaySort_date |
2009-06-12T00:00:00Z |
| hierarchy_top_id |
129555002 |
| dewey-sort |
3530 |
| id |
OLC2038896941 |
| language_de |
englisch |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2038896941</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230323202741.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2009 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00220-009-0841-1</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2038896941</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00220-009-0841-1-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">530</subfield><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hollands, Stefan</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On the ‘Stationary Implies Axisymmetric’ Theorem for Extremal Black Holes in Higher Dimensions</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2009</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer-Verlag 2009</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract All known stationary black hole solutions in higher dimensions possess additional rotational symmetries in addition to the stationary Killing field. Also, for all known stationary solutions, the event horizon is a Killing horizon, and the surface gravity is constant. In the case of non-degenerate horizons (non-extremal black holes), a general theorem was previously established [24] proving that these statements are in fact generally true under the assumption that the spacetime is analytic, and that the metric satisfies Einstein’s equation. Here, we extend the analysis to the case of degenerate (extremal) black holes. It is shown that the theorem still holds true if the vector of angular velocities of the horizon satisfies a certain “diophantine condition,” which holds except for a set of measure zero.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Black Hole</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Event Horizon</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Black Hole Solution</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Black Ring</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Extremal Black Hole</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ishibashi, Akihiro</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Communications in mathematical physics</subfield><subfield code="d">Springer-Verlag, 1965</subfield><subfield code="g">291(2009), 2 vom: 12. Juni, Seite 443-471</subfield><subfield code="w">(DE-627)129555002</subfield><subfield code="w">(DE-600)220443-5</subfield><subfield code="w">(DE-576)015011755</subfield><subfield code="x">0010-3616</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:291</subfield><subfield code="g">year:2009</subfield><subfield code="g">number:2</subfield><subfield code="g">day:12</subfield><subfield code="g">month:06</subfield><subfield code="g">pages:443-471</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s00220-009-0841-1</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_30</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2002</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2006</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2018</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2279</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2409</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4266</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4277</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4305</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4307</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4317</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4318</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4319</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">291</subfield><subfield code="j">2009</subfield><subfield code="e">2</subfield><subfield code="b">12</subfield><subfield code="c">06</subfield><subfield code="h">443-471</subfield></datafield></record></collection>
|
| author |
Hollands, Stefan |
| spellingShingle |
Hollands, Stefan ddc 530 misc Black Hole misc Event Horizon misc Black Hole Solution misc Black Ring misc Extremal Black Hole On the ‘Stationary Implies Axisymmetric’ Theorem for Extremal Black Holes in Higher Dimensions |
| authorStr |
Hollands, Stefan |
| ppnlink_with_tag_str_mv |
@@773@@(DE-627)129555002 |
| format |
Article |
| dewey-ones |
530 - Physics 510 - Mathematics |
| delete_txt_mv |
keep |
| author_role |
aut aut |
| collection |
OLC |
| remote_str |
false |
| illustrated |
Not Illustrated |
| issn |
0010-3616 |
| topic_title |
530 510 VZ On the ‘Stationary Implies Axisymmetric’ Theorem for Extremal Black Holes in Higher Dimensions Black Hole Event Horizon Black Hole Solution Black Ring Extremal Black Hole |
| topic |
ddc 530 misc Black Hole misc Event Horizon misc Black Hole Solution misc Black Ring misc Extremal Black Hole |
| topic_unstemmed |
ddc 530 misc Black Hole misc Event Horizon misc Black Hole Solution misc Black Ring misc Extremal Black Hole |
| topic_browse |
ddc 530 misc Black Hole misc Event Horizon misc Black Hole Solution misc Black Ring misc Extremal Black Hole |
| format_facet |
Aufsätze Gedruckte Aufsätze |
| format_main_str_mv |
Text Zeitschrift/Artikel |
| carriertype_str_mv |
nc |
| hierarchy_parent_title |
Communications in mathematical physics |
| hierarchy_parent_id |
129555002 |
| dewey-tens |
530 - Physics 510 - Mathematics |
| hierarchy_top_title |
Communications in mathematical physics |
| isfreeaccess_txt |
false |
| familylinks_str_mv |
(DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 |
| title |
On the ‘Stationary Implies Axisymmetric’ Theorem for Extremal Black Holes in Higher Dimensions |
| ctrlnum |
(DE-627)OLC2038896941 (DE-He213)s00220-009-0841-1-p |
| title_full |
On the ‘Stationary Implies Axisymmetric’ Theorem for Extremal Black Holes in Higher Dimensions |
| author_sort |
Hollands, Stefan |
| journal |
Communications in mathematical physics |
| journalStr |
Communications in mathematical physics |
| lang_code |
eng |
| isOA_bool |
false |
| dewey-hundreds |
500 - Science |
| recordtype |
marc |
| publishDateSort |
2009 |
| contenttype_str_mv |
txt |
| container_start_page |
443 |
| author_browse |
Hollands, Stefan Ishibashi, Akihiro |
| container_volume |
291 |
| class |
530 510 VZ |
| format_se |
Aufsätze |
| author-letter |
Hollands, Stefan |
| doi_str_mv |
10.1007/s00220-009-0841-1 |
| dewey-full |
530 510 |
| title_sort |
on the ‘stationary implies axisymmetric’ theorem for extremal black holes in higher dimensions |
| title_auth |
On the ‘Stationary Implies Axisymmetric’ Theorem for Extremal Black Holes in Higher Dimensions |
| abstract |
Abstract All known stationary black hole solutions in higher dimensions possess additional rotational symmetries in addition to the stationary Killing field. Also, for all known stationary solutions, the event horizon is a Killing horizon, and the surface gravity is constant. In the case of non-degenerate horizons (non-extremal black holes), a general theorem was previously established [24] proving that these statements are in fact generally true under the assumption that the spacetime is analytic, and that the metric satisfies Einstein’s equation. Here, we extend the analysis to the case of degenerate (extremal) black holes. It is shown that the theorem still holds true if the vector of angular velocities of the horizon satisfies a certain “diophantine condition,” which holds except for a set of measure zero. © Springer-Verlag 2009 |
| abstractGer |
Abstract All known stationary black hole solutions in higher dimensions possess additional rotational symmetries in addition to the stationary Killing field. Also, for all known stationary solutions, the event horizon is a Killing horizon, and the surface gravity is constant. In the case of non-degenerate horizons (non-extremal black holes), a general theorem was previously established [24] proving that these statements are in fact generally true under the assumption that the spacetime is analytic, and that the metric satisfies Einstein’s equation. Here, we extend the analysis to the case of degenerate (extremal) black holes. It is shown that the theorem still holds true if the vector of angular velocities of the horizon satisfies a certain “diophantine condition,” which holds except for a set of measure zero. © Springer-Verlag 2009 |
| abstract_unstemmed |
Abstract All known stationary black hole solutions in higher dimensions possess additional rotational symmetries in addition to the stationary Killing field. Also, for all known stationary solutions, the event horizon is a Killing horizon, and the surface gravity is constant. In the case of non-degenerate horizons (non-extremal black holes), a general theorem was previously established [24] proving that these statements are in fact generally true under the assumption that the spacetime is analytic, and that the metric satisfies Einstein’s equation. Here, we extend the analysis to the case of degenerate (extremal) black holes. It is shown that the theorem still holds true if the vector of angular velocities of the horizon satisfies a certain “diophantine condition,” which holds except for a set of measure zero. © Springer-Verlag 2009 |
| collection_details |
GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 |
| container_issue |
2 |
| title_short |
On the ‘Stationary Implies Axisymmetric’ Theorem for Extremal Black Holes in Higher Dimensions |
| url |
https://doi.org/10.1007/s00220-009-0841-1 |
| remote_bool |
false |
| author2 |
Ishibashi, Akihiro |
| author2Str |
Ishibashi, Akihiro |
| ppnlink |
129555002 |
| mediatype_str_mv |
n |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| doi_str |
10.1007/s00220-009-0841-1 |
| up_date |
2024-07-03T20:46:18.497Z |
| _version_ |
1803592221070458880 |
| fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2038896941</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230323202741.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2009 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00220-009-0841-1</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2038896941</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00220-009-0841-1-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">530</subfield><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hollands, Stefan</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On the ‘Stationary Implies Axisymmetric’ Theorem for Extremal Black Holes in Higher Dimensions</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2009</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer-Verlag 2009</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract All known stationary black hole solutions in higher dimensions possess additional rotational symmetries in addition to the stationary Killing field. Also, for all known stationary solutions, the event horizon is a Killing horizon, and the surface gravity is constant. In the case of non-degenerate horizons (non-extremal black holes), a general theorem was previously established [24] proving that these statements are in fact generally true under the assumption that the spacetime is analytic, and that the metric satisfies Einstein’s equation. Here, we extend the analysis to the case of degenerate (extremal) black holes. It is shown that the theorem still holds true if the vector of angular velocities of the horizon satisfies a certain “diophantine condition,” which holds except for a set of measure zero.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Black Hole</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Event Horizon</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Black Hole Solution</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Black Ring</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Extremal Black Hole</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ishibashi, Akihiro</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Communications in mathematical physics</subfield><subfield code="d">Springer-Verlag, 1965</subfield><subfield code="g">291(2009), 2 vom: 12. Juni, Seite 443-471</subfield><subfield code="w">(DE-627)129555002</subfield><subfield code="w">(DE-600)220443-5</subfield><subfield code="w">(DE-576)015011755</subfield><subfield code="x">0010-3616</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:291</subfield><subfield code="g">year:2009</subfield><subfield code="g">number:2</subfield><subfield code="g">day:12</subfield><subfield code="g">month:06</subfield><subfield code="g">pages:443-471</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s00220-009-0841-1</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_30</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2002</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2006</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2018</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2279</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2409</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4266</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4277</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4305</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4307</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4317</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4318</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4319</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">291</subfield><subfield code="j">2009</subfield><subfield code="e">2</subfield><subfield code="b">12</subfield><subfield code="c">06</subfield><subfield code="h">443-471</subfield></datafield></record></collection>
|
| score |
7.4014025 |