Conservation laws in the general theory of relativity
Summary Investigation of the relationship between conservation laws in general relativity and certain types of « generalized symmetry properties » (generated by transformations which map space-times onto other space-times which are not describable as co-ordinate mappings) yields, in contrast to the...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Davis, W. R. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1970 |
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| Schlagwörter: |
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| Anmerkung: |
© Società Italiana di Fisica 1970 |
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| Übergeordnetes Werk: |
Enthalten in: Il Nuovo Cimento B (1965-1970) - Springer Berlin Heidelberg, 1971, 65(1970), 1 vom: Jan., Seite 19-32 |
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| Übergeordnetes Werk: |
volume:65 ; year:1970 ; number:1 ; month:01 ; pages:19-32 |
| Links: |
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| DOI / URN: |
10.1007/BF02711611 |
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OLC2087178356 |
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| 520 | |a Summary Investigation of the relationship between conservation laws in general relativity and certain types of « generalized symmetry properties » (generated by transformations which map space-times onto other space-times which are not describable as co-ordinate mappings) yields, in contrast to the case for co-ordinate mappings, a very restricted class of possible formal conservation expressions. Here we consider in particular the affine, projective, and conformal correspondence of Riemannian space-times. Particle and field conservation-law generators are formulated as well as the conditions necessary for conservation laws and related symmetry properties to be admitted. The particle case is illustrated by a well-known quadratic first integral of the geodesic equations of the Friedmann-Lemaître cosmological space-time which follows in consequence of a projective symmetry property (geodesic correspondence). The field case is illustrated by formulating a conservation law following in consequence of a conformal symmetry property manifested by the familiar plane gravitational wave solutions which are included by some of the earlier work of Brinkmann. | ||
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10.1007/BF02711611 doi (DE-627)OLC2087178356 (DE-He213)BF02711611-p DE-627 ger DE-627 rakwb eng 530 VZ Davis, W. R. verfasserin aut Conservation laws in the general theory of relativity 1970 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica 1970 Summary Investigation of the relationship between conservation laws in general relativity and certain types of « generalized symmetry properties » (generated by transformations which map space-times onto other space-times which are not describable as co-ordinate mappings) yields, in contrast to the case for co-ordinate mappings, a very restricted class of possible formal conservation expressions. Here we consider in particular the affine, projective, and conformal correspondence of Riemannian space-times. Particle and field conservation-law generators are formulated as well as the conditions necessary for conservation laws and related symmetry properties to be admitted. The particle case is illustrated by a well-known quadratic first integral of the geodesic equations of the Friedmann-Lemaître cosmological space-time which follows in consequence of a projective symmetry property (geodesic correspondence). The field case is illustrated by formulating a conservation law following in consequence of a conformal symmetry property manifested by the familiar plane gravitational wave solutions which are included by some of the earlier work of Brinkmann. Symmetry Property Geodesic Equation Symmetry Method Conservation Expression Generalize Symmetry Transformation Moss, M. K. aut York, J. W. aut Enthalten in Il Nuovo Cimento B (1965-1970) Springer Berlin Heidelberg, 1971 65(1970), 1 vom: Jan., Seite 19-32 (DE-627)130067806 (DE-600)441919-4 (DE-576)015602214 2037-4895 nnns volume:65 year:1970 number:1 month:01 pages:19-32 https://doi.org/10.1007/BF02711611 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-AST AR 65 1970 1 01 19-32 |
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10.1007/BF02711611 doi (DE-627)OLC2087178356 (DE-He213)BF02711611-p DE-627 ger DE-627 rakwb eng 530 VZ Davis, W. R. verfasserin aut Conservation laws in the general theory of relativity 1970 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica 1970 Summary Investigation of the relationship between conservation laws in general relativity and certain types of « generalized symmetry properties » (generated by transformations which map space-times onto other space-times which are not describable as co-ordinate mappings) yields, in contrast to the case for co-ordinate mappings, a very restricted class of possible formal conservation expressions. Here we consider in particular the affine, projective, and conformal correspondence of Riemannian space-times. Particle and field conservation-law generators are formulated as well as the conditions necessary for conservation laws and related symmetry properties to be admitted. The particle case is illustrated by a well-known quadratic first integral of the geodesic equations of the Friedmann-Lemaître cosmological space-time which follows in consequence of a projective symmetry property (geodesic correspondence). The field case is illustrated by formulating a conservation law following in consequence of a conformal symmetry property manifested by the familiar plane gravitational wave solutions which are included by some of the earlier work of Brinkmann. Symmetry Property Geodesic Equation Symmetry Method Conservation Expression Generalize Symmetry Transformation Moss, M. K. aut York, J. W. aut Enthalten in Il Nuovo Cimento B (1965-1970) Springer Berlin Heidelberg, 1971 65(1970), 1 vom: Jan., Seite 19-32 (DE-627)130067806 (DE-600)441919-4 (DE-576)015602214 2037-4895 nnns volume:65 year:1970 number:1 month:01 pages:19-32 https://doi.org/10.1007/BF02711611 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-AST AR 65 1970 1 01 19-32 |
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10.1007/BF02711611 doi (DE-627)OLC2087178356 (DE-He213)BF02711611-p DE-627 ger DE-627 rakwb eng 530 VZ Davis, W. R. verfasserin aut Conservation laws in the general theory of relativity 1970 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica 1970 Summary Investigation of the relationship between conservation laws in general relativity and certain types of « generalized symmetry properties » (generated by transformations which map space-times onto other space-times which are not describable as co-ordinate mappings) yields, in contrast to the case for co-ordinate mappings, a very restricted class of possible formal conservation expressions. Here we consider in particular the affine, projective, and conformal correspondence of Riemannian space-times. Particle and field conservation-law generators are formulated as well as the conditions necessary for conservation laws and related symmetry properties to be admitted. The particle case is illustrated by a well-known quadratic first integral of the geodesic equations of the Friedmann-Lemaître cosmological space-time which follows in consequence of a projective symmetry property (geodesic correspondence). The field case is illustrated by formulating a conservation law following in consequence of a conformal symmetry property manifested by the familiar plane gravitational wave solutions which are included by some of the earlier work of Brinkmann. Symmetry Property Geodesic Equation Symmetry Method Conservation Expression Generalize Symmetry Transformation Moss, M. K. aut York, J. W. aut Enthalten in Il Nuovo Cimento B (1965-1970) Springer Berlin Heidelberg, 1971 65(1970), 1 vom: Jan., Seite 19-32 (DE-627)130067806 (DE-600)441919-4 (DE-576)015602214 2037-4895 nnns volume:65 year:1970 number:1 month:01 pages:19-32 https://doi.org/10.1007/BF02711611 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-AST AR 65 1970 1 01 19-32 |
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10.1007/BF02711611 doi (DE-627)OLC2087178356 (DE-He213)BF02711611-p DE-627 ger DE-627 rakwb eng 530 VZ Davis, W. R. verfasserin aut Conservation laws in the general theory of relativity 1970 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica 1970 Summary Investigation of the relationship between conservation laws in general relativity and certain types of « generalized symmetry properties » (generated by transformations which map space-times onto other space-times which are not describable as co-ordinate mappings) yields, in contrast to the case for co-ordinate mappings, a very restricted class of possible formal conservation expressions. Here we consider in particular the affine, projective, and conformal correspondence of Riemannian space-times. Particle and field conservation-law generators are formulated as well as the conditions necessary for conservation laws and related symmetry properties to be admitted. The particle case is illustrated by a well-known quadratic first integral of the geodesic equations of the Friedmann-Lemaître cosmological space-time which follows in consequence of a projective symmetry property (geodesic correspondence). The field case is illustrated by formulating a conservation law following in consequence of a conformal symmetry property manifested by the familiar plane gravitational wave solutions which are included by some of the earlier work of Brinkmann. Symmetry Property Geodesic Equation Symmetry Method Conservation Expression Generalize Symmetry Transformation Moss, M. K. aut York, J. W. aut Enthalten in Il Nuovo Cimento B (1965-1970) Springer Berlin Heidelberg, 1971 65(1970), 1 vom: Jan., Seite 19-32 (DE-627)130067806 (DE-600)441919-4 (DE-576)015602214 2037-4895 nnns volume:65 year:1970 number:1 month:01 pages:19-32 https://doi.org/10.1007/BF02711611 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-AST AR 65 1970 1 01 19-32 |
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Summary Investigation of the relationship between conservation laws in general relativity and certain types of « generalized symmetry properties » (generated by transformations which map space-times onto other space-times which are not describable as co-ordinate mappings) yields, in contrast to the case for co-ordinate mappings, a very restricted class of possible formal conservation expressions. Here we consider in particular the affine, projective, and conformal correspondence of Riemannian space-times. Particle and field conservation-law generators are formulated as well as the conditions necessary for conservation laws and related symmetry properties to be admitted. The particle case is illustrated by a well-known quadratic first integral of the geodesic equations of the Friedmann-Lemaître cosmological space-time which follows in consequence of a projective symmetry property (geodesic correspondence). The field case is illustrated by formulating a conservation law following in consequence of a conformal symmetry property manifested by the familiar plane gravitational wave solutions which are included by some of the earlier work of Brinkmann. © Società Italiana di Fisica 1970 |
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Summary Investigation of the relationship between conservation laws in general relativity and certain types of « generalized symmetry properties » (generated by transformations which map space-times onto other space-times which are not describable as co-ordinate mappings) yields, in contrast to the case for co-ordinate mappings, a very restricted class of possible formal conservation expressions. Here we consider in particular the affine, projective, and conformal correspondence of Riemannian space-times. Particle and field conservation-law generators are formulated as well as the conditions necessary for conservation laws and related symmetry properties to be admitted. The particle case is illustrated by a well-known quadratic first integral of the geodesic equations of the Friedmann-Lemaître cosmological space-time which follows in consequence of a projective symmetry property (geodesic correspondence). The field case is illustrated by formulating a conservation law following in consequence of a conformal symmetry property manifested by the familiar plane gravitational wave solutions which are included by some of the earlier work of Brinkmann. © Società Italiana di Fisica 1970 |
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Summary Investigation of the relationship between conservation laws in general relativity and certain types of « generalized symmetry properties » (generated by transformations which map space-times onto other space-times which are not describable as co-ordinate mappings) yields, in contrast to the case for co-ordinate mappings, a very restricted class of possible formal conservation expressions. Here we consider in particular the affine, projective, and conformal correspondence of Riemannian space-times. Particle and field conservation-law generators are formulated as well as the conditions necessary for conservation laws and related symmetry properties to be admitted. The particle case is illustrated by a well-known quadratic first integral of the geodesic equations of the Friedmann-Lemaître cosmological space-time which follows in consequence of a projective symmetry property (geodesic correspondence). The field case is illustrated by formulating a conservation law following in consequence of a conformal symmetry property manifested by the familiar plane gravitational wave solutions which are included by some of the earlier work of Brinkmann. © Società Italiana di Fisica 1970 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2087178356</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230401104501.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">230302s1970 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/BF02711611</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2087178356</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)BF02711611-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="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Davis, W. R.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Conservation laws in the general theory of relativity</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1970</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">© Società Italiana di Fisica 1970</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Summary Investigation of the relationship between conservation laws in general relativity and certain types of « generalized symmetry properties » (generated by transformations which map space-times onto other space-times which are not describable as co-ordinate mappings) yields, in contrast to the case for co-ordinate mappings, a very restricted class of possible formal conservation expressions. Here we consider in particular the affine, projective, and conformal correspondence of Riemannian space-times. Particle and field conservation-law generators are formulated as well as the conditions necessary for conservation laws and related symmetry properties to be admitted. The particle case is illustrated by a well-known quadratic first integral of the geodesic equations of the Friedmann-Lemaître cosmological space-time which follows in consequence of a projective symmetry property (geodesic correspondence). The field case is illustrated by formulating a conservation law following in consequence of a conformal symmetry property manifested by the familiar plane gravitational wave solutions which are included by some of the earlier work of Brinkmann.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Symmetry Property</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geodesic Equation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Symmetry Method</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Conservation Expression</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Generalize Symmetry Transformation</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Moss, M. K.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">York, J. W.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Il Nuovo Cimento B (1965-1970)</subfield><subfield code="d">Springer Berlin Heidelberg, 1971</subfield><subfield code="g">65(1970), 1 vom: Jan., Seite 19-32</subfield><subfield code="w">(DE-627)130067806</subfield><subfield code="w">(DE-600)441919-4</subfield><subfield code="w">(DE-576)015602214</subfield><subfield code="x">2037-4895</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:65</subfield><subfield code="g">year:1970</subfield><subfield code="g">number:1</subfield><subfield code="g">month:01</subfield><subfield code="g">pages:19-32</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/BF02711611</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-OPC-AST</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">65</subfield><subfield code="j">1970</subfield><subfield code="e">1</subfield><subfield code="c">01</subfield><subfield code="h">19-32</subfield></datafield></record></collection>
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