Elastic perturbation theory in General Relativity and a variation principle for a rotating solid star

Abstract Perturbation analysis is applied to the theory of a General Relativistic perfectly elastic medium as developed by Carter and Quintana (1972). Formulae are derived for the Eulerian variations of the principal fields (density, pressure tensor, etc.) on which the description of such a medium i...
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Gespeichert in:

Autor*in:	Carter, Brandon [verfasserIn]

Format:	Artikel
Sprache:	Englisch

Erschienen:	1973

Schlagwörter:	Neutron Star Variation Principle Elastic Medium Action Principle Mass Variation

Anmerkung:	© Springer-Verlag 1973

Übergeordnetes Werk:	Enthalten in: Communications in mathematical physics - Springer-Verlag, 1965, 30(1973), 4 vom: Dez., Seite 261-286
Übergeordnetes Werk:	volume:30 ; year:1973 ; number:4 ; month:12 ; pages:261-286

Links:	Volltext

DOI / URN:	10.1007/BF01645505

Katalog-ID:	OLC2038825971

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520			\|a Abstract Perturbation analysis is applied to the theory of a General Relativistic perfectly elastic medium as developed by Carter and Quintana (1972). Formulae are derived for the Eulerian variations of the principal fields (density, pressure tensor, etc.) on which the description of such a medium is based, where the perturbations are induced both by infinitesimal displacements of the medium and by infinitesimal variations of the metric tensor. These formulae will be essential for problems such as the study of torsional vibration modes in a neutron star. As examples of their application, the variation formulae are used in the derivation firstly of a simple (dynamic) action principle for a perfectly elastic medium (this principle being a generalisation of the one given by Taub (1954) for a perfect fluid) and secondly in the derivation of a rather more sophisticated mass variation principle for a stationary rotating solid star (this principle being a generalisation of the one given by Hartle and Sharp (1967) for a perfect fluid star).
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allfields	10.1007/BF01645505 doi (DE-627)OLC2038825971 (DE-He213)BF01645505-p DE-627 ger DE-627 rakwb eng 530 510 VZ Carter, Brandon verfasserin aut Elastic perturbation theory in General Relativity and a variation principle for a rotating solid star 1973 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1973 Abstract Perturbation analysis is applied to the theory of a General Relativistic perfectly elastic medium as developed by Carter and Quintana (1972). Formulae are derived for the Eulerian variations of the principal fields (density, pressure tensor, etc.) on which the description of such a medium is based, where the perturbations are induced both by infinitesimal displacements of the medium and by infinitesimal variations of the metric tensor. These formulae will be essential for problems such as the study of torsional vibration modes in a neutron star. As examples of their application, the variation formulae are used in the derivation firstly of a simple (dynamic) action principle for a perfectly elastic medium (this principle being a generalisation of the one given by Taub (1954) for a perfect fluid) and secondly in the derivation of a rather more sophisticated mass variation principle for a stationary rotating solid star (this principle being a generalisation of the one given by Hartle and Sharp (1967) for a perfect fluid star). Neutron Star Variation Principle Elastic Medium Action Principle Mass Variation Enthalten in Communications in mathematical physics Springer-Verlag, 1965 30(1973), 4 vom: Dez., Seite 261-286 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:30 year:1973 number:4 month:12 pages:261-286 https://doi.org/10.1007/BF01645505 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_170 GBV_ILN_201 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4125 GBV_ILN_4193 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 30 1973 4 12 261-286
spelling	10.1007/BF01645505 doi (DE-627)OLC2038825971 (DE-He213)BF01645505-p DE-627 ger DE-627 rakwb eng 530 510 VZ Carter, Brandon verfasserin aut Elastic perturbation theory in General Relativity and a variation principle for a rotating solid star 1973 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1973 Abstract Perturbation analysis is applied to the theory of a General Relativistic perfectly elastic medium as developed by Carter and Quintana (1972). Formulae are derived for the Eulerian variations of the principal fields (density, pressure tensor, etc.) on which the description of such a medium is based, where the perturbations are induced both by infinitesimal displacements of the medium and by infinitesimal variations of the metric tensor. These formulae will be essential for problems such as the study of torsional vibration modes in a neutron star. As examples of their application, the variation formulae are used in the derivation firstly of a simple (dynamic) action principle for a perfectly elastic medium (this principle being a generalisation of the one given by Taub (1954) for a perfect fluid) and secondly in the derivation of a rather more sophisticated mass variation principle for a stationary rotating solid star (this principle being a generalisation of the one given by Hartle and Sharp (1967) for a perfect fluid star). Neutron Star Variation Principle Elastic Medium Action Principle Mass Variation Enthalten in Communications in mathematical physics Springer-Verlag, 1965 30(1973), 4 vom: Dez., Seite 261-286 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:30 year:1973 number:4 month:12 pages:261-286 https://doi.org/10.1007/BF01645505 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_170 GBV_ILN_201 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4125 GBV_ILN_4193 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 30 1973 4 12 261-286
allfields_unstemmed	10.1007/BF01645505 doi (DE-627)OLC2038825971 (DE-He213)BF01645505-p DE-627 ger DE-627 rakwb eng 530 510 VZ Carter, Brandon verfasserin aut Elastic perturbation theory in General Relativity and a variation principle for a rotating solid star 1973 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1973 Abstract Perturbation analysis is applied to the theory of a General Relativistic perfectly elastic medium as developed by Carter and Quintana (1972). Formulae are derived for the Eulerian variations of the principal fields (density, pressure tensor, etc.) on which the description of such a medium is based, where the perturbations are induced both by infinitesimal displacements of the medium and by infinitesimal variations of the metric tensor. These formulae will be essential for problems such as the study of torsional vibration modes in a neutron star. As examples of their application, the variation formulae are used in the derivation firstly of a simple (dynamic) action principle for a perfectly elastic medium (this principle being a generalisation of the one given by Taub (1954) for a perfect fluid) and secondly in the derivation of a rather more sophisticated mass variation principle for a stationary rotating solid star (this principle being a generalisation of the one given by Hartle and Sharp (1967) for a perfect fluid star). Neutron Star Variation Principle Elastic Medium Action Principle Mass Variation Enthalten in Communications in mathematical physics Springer-Verlag, 1965 30(1973), 4 vom: Dez., Seite 261-286 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:30 year:1973 number:4 month:12 pages:261-286 https://doi.org/10.1007/BF01645505 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_170 GBV_ILN_201 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4125 GBV_ILN_4193 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 30 1973 4 12 261-286
allfieldsGer	10.1007/BF01645505 doi (DE-627)OLC2038825971 (DE-He213)BF01645505-p DE-627 ger DE-627 rakwb eng 530 510 VZ Carter, Brandon verfasserin aut Elastic perturbation theory in General Relativity and a variation principle for a rotating solid star 1973 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1973 Abstract Perturbation analysis is applied to the theory of a General Relativistic perfectly elastic medium as developed by Carter and Quintana (1972). Formulae are derived for the Eulerian variations of the principal fields (density, pressure tensor, etc.) on which the description of such a medium is based, where the perturbations are induced both by infinitesimal displacements of the medium and by infinitesimal variations of the metric tensor. These formulae will be essential for problems such as the study of torsional vibration modes in a neutron star. As examples of their application, the variation formulae are used in the derivation firstly of a simple (dynamic) action principle for a perfectly elastic medium (this principle being a generalisation of the one given by Taub (1954) for a perfect fluid) and secondly in the derivation of a rather more sophisticated mass variation principle for a stationary rotating solid star (this principle being a generalisation of the one given by Hartle and Sharp (1967) for a perfect fluid star). Neutron Star Variation Principle Elastic Medium Action Principle Mass Variation Enthalten in Communications in mathematical physics Springer-Verlag, 1965 30(1973), 4 vom: Dez., Seite 261-286 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:30 year:1973 number:4 month:12 pages:261-286 https://doi.org/10.1007/BF01645505 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_170 GBV_ILN_201 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4125 GBV_ILN_4193 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 30 1973 4 12 261-286
allfieldsSound	10.1007/BF01645505 doi (DE-627)OLC2038825971 (DE-He213)BF01645505-p DE-627 ger DE-627 rakwb eng 530 510 VZ Carter, Brandon verfasserin aut Elastic perturbation theory in General Relativity and a variation principle for a rotating solid star 1973 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1973 Abstract Perturbation analysis is applied to the theory of a General Relativistic perfectly elastic medium as developed by Carter and Quintana (1972). Formulae are derived for the Eulerian variations of the principal fields (density, pressure tensor, etc.) on which the description of such a medium is based, where the perturbations are induced both by infinitesimal displacements of the medium and by infinitesimal variations of the metric tensor. These formulae will be essential for problems such as the study of torsional vibration modes in a neutron star. As examples of their application, the variation formulae are used in the derivation firstly of a simple (dynamic) action principle for a perfectly elastic medium (this principle being a generalisation of the one given by Taub (1954) for a perfect fluid) and secondly in the derivation of a rather more sophisticated mass variation principle for a stationary rotating solid star (this principle being a generalisation of the one given by Hartle and Sharp (1967) for a perfect fluid star). Neutron Star Variation Principle Elastic Medium Action Principle Mass Variation Enthalten in Communications in mathematical physics Springer-Verlag, 1965 30(1973), 4 vom: Dez., Seite 261-286 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:30 year:1973 number:4 month:12 pages:261-286 https://doi.org/10.1007/BF01645505 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_170 GBV_ILN_201 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4125 GBV_ILN_4193 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 30 1973 4 12 261-286
language	English
source	Enthalten in Communications in mathematical physics 30(1973), 4 vom: Dez., Seite 261-286 volume:30 year:1973 number:4 month:12 pages:261-286
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topic_facet	Neutron Star Variation Principle Elastic Medium Action Principle Mass Variation
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container_title	Communications in mathematical physics
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author	Carter, Brandon
spellingShingle	Carter, Brandon ddc 530 misc Neutron Star misc Variation Principle misc Elastic Medium misc Action Principle misc Mass Variation Elastic perturbation theory in General Relativity and a variation principle for a rotating solid star
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topic_title	530 510 VZ Elastic perturbation theory in General Relativity and a variation principle for a rotating solid star Neutron Star Variation Principle Elastic Medium Action Principle Mass Variation
topic	ddc 530 misc Neutron Star misc Variation Principle misc Elastic Medium misc Action Principle misc Mass Variation
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title	Elastic perturbation theory in General Relativity and a variation principle for a rotating solid star
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title_full	Elastic perturbation theory in General Relativity and a variation principle for a rotating solid star
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title_sort	elastic perturbation theory in general relativity and a variation principle for a rotating solid star
title_auth	Elastic perturbation theory in General Relativity and a variation principle for a rotating solid star
abstract	Abstract Perturbation analysis is applied to the theory of a General Relativistic perfectly elastic medium as developed by Carter and Quintana (1972). Formulae are derived for the Eulerian variations of the principal fields (density, pressure tensor, etc.) on which the description of such a medium is based, where the perturbations are induced both by infinitesimal displacements of the medium and by infinitesimal variations of the metric tensor. These formulae will be essential for problems such as the study of torsional vibration modes in a neutron star. As examples of their application, the variation formulae are used in the derivation firstly of a simple (dynamic) action principle for a perfectly elastic medium (this principle being a generalisation of the one given by Taub (1954) for a perfect fluid) and secondly in the derivation of a rather more sophisticated mass variation principle for a stationary rotating solid star (this principle being a generalisation of the one given by Hartle and Sharp (1967) for a perfect fluid star). © Springer-Verlag 1973
abstractGer	Abstract Perturbation analysis is applied to the theory of a General Relativistic perfectly elastic medium as developed by Carter and Quintana (1972). Formulae are derived for the Eulerian variations of the principal fields (density, pressure tensor, etc.) on which the description of such a medium is based, where the perturbations are induced both by infinitesimal displacements of the medium and by infinitesimal variations of the metric tensor. These formulae will be essential for problems such as the study of torsional vibration modes in a neutron star. As examples of their application, the variation formulae are used in the derivation firstly of a simple (dynamic) action principle for a perfectly elastic medium (this principle being a generalisation of the one given by Taub (1954) for a perfect fluid) and secondly in the derivation of a rather more sophisticated mass variation principle for a stationary rotating solid star (this principle being a generalisation of the one given by Hartle and Sharp (1967) for a perfect fluid star). © Springer-Verlag 1973
abstract_unstemmed	Abstract Perturbation analysis is applied to the theory of a General Relativistic perfectly elastic medium as developed by Carter and Quintana (1972). Formulae are derived for the Eulerian variations of the principal fields (density, pressure tensor, etc.) on which the description of such a medium is based, where the perturbations are induced both by infinitesimal displacements of the medium and by infinitesimal variations of the metric tensor. These formulae will be essential for problems such as the study of torsional vibration modes in a neutron star. As examples of their application, the variation formulae are used in the derivation firstly of a simple (dynamic) action principle for a perfectly elastic medium (this principle being a generalisation of the one given by Taub (1954) for a perfect fluid) and secondly in the derivation of a rather more sophisticated mass variation principle for a stationary rotating solid star (this principle being a generalisation of the one given by Hartle and Sharp (1967) for a perfect fluid star). © Springer-Verlag 1973
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title_short	Elastic perturbation theory in General Relativity and a variation principle for a rotating solid star
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