Metric Theories of Gravity : : Perturbations and Conservation Laws / / Alexander N. Petrov, Sergei M. Kopeikin, Robert R. Lompay, Bayram Tekin.
By focusing on the mostly used variational methods, this monograph aspires to give a unified description and comparison of various ways of constructing conserved quantities for perturbations and to study symmetries in general relativity and modified theories of gravity. The main emphasis lies on the...
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Petrov, Alexander N., author. aut http://id.loc.gov/vocabulary/relators/aut Metric Theories of Gravity : Perturbations and Conservation Laws / Alexander N. Petrov, Sergei M. Kopeikin, Robert R. Lompay, Bayram Tekin. Berlin ; Boston : De Gruyter, [2017] ©2017 1 online resource (XXIV, 597 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Studies in Mathematical Physics , 2194-3532 ; 38 Frontmatter -- Preface -- Contents -- List of Figures -- Primary notations -- 1. Conservation laws in theoretical physics: A brief introduction -- 2. Field-theoretical formulation of general relativity: The theory -- 3. Asymptotically flat spacetime in the field-theoretical formulation -- 4. Exact solutions of general relativity in the field-theoretical formalism -- 5. Field-theoretical derivation of cosmological perturbations -- 6. Currents and superpotentials on arbitrary backgrounds: Three approaches -- 7. Conservation laws in an arbitrary multi-dimensional metric theory -- 8. Conserved quantities in the Einstein-Gauss-Bonnet gravity -- 9. Generic gravity: Particle content, weak field limits, conserved charges -- 10. Conservation laws in covariant field theories with gauge symmetries -- Appendix A: Tensor quantities and tensor operations -- Appendix B: Retarded functions -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star By focusing on the mostly used variational methods, this monograph aspires to give a unified description and comparison of various ways of constructing conserved quantities for perturbations and to study symmetries in general relativity and modified theories of gravity. The main emphasis lies on the field-theoretical covariant formulation of perturbations, the canonical Noether approach and the Belinfante procedure of symmetrisation. The general formalism is applied to build the gauge-invariant cosmological perturbation theory, conserved currents and superpotentials to describe physically important solutions of gravity theories. Meticulous attention is given to the construction of conserved quantities in asymptotically-flat spacetimes as well as in asymptotically constant curvature spacetimes such as the Anti-de Sitter space. Significant part of the book can be used in graduate courses on conservation laws in general relativity. THE SERIES: DE GRUYTER STUDIES IN MATHEMATICAL PHYSICS The series is devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply, and develop further, with sufficient rigor, mathematical methods to given problems in physics. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They can also serve as secondary reading for lectures and seminars at advanced levels. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Force and energy. General relativity (Physics). Gravitational waves. Gravity anomalies. Gravity. SCIENCE / Physics / Mathematical & Computational. bisacsh Kopeikin, Sergei M., author. aut http://id.loc.gov/vocabulary/relators/aut Lompay, Robert R., author. aut http://id.loc.gov/vocabulary/relators/aut Tekin, Bayram, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Plus DeG Package 2017 Part 1 9783110762495 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 9783110719543 Title is part of eBook package: De Gruyter DG Studies in Mathematical Physics eBook-Package 9783110645309 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2017 9783110540550 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE ENGLISH 2017 9783110625264 Title is part of eBook package: De Gruyter EBOOK PACKAGE Physics, Chemistry, Materials Sc, Geosc 2017 9783110548235 ZDB-23-DPC EPUB 9783110383409 print 9783110351736 https://doi.org/10.1515/9783110351781 https://www.degruyter.com/isbn/9783110351781 Cover https://www.degruyter.com/document/cover/isbn/9783110351781/original |
language |
English |
format |
eBook |
author |
Petrov, Alexander N., Petrov, Alexander N., Kopeikin, Sergei M., Lompay, Robert R., Tekin, Bayram, |
spellingShingle |
Petrov, Alexander N., Petrov, Alexander N., Kopeikin, Sergei M., Lompay, Robert R., Tekin, Bayram, Metric Theories of Gravity : Perturbations and Conservation Laws / De Gruyter Studies in Mathematical Physics , Frontmatter -- Preface -- Contents -- List of Figures -- Primary notations -- 1. Conservation laws in theoretical physics: A brief introduction -- 2. Field-theoretical formulation of general relativity: The theory -- 3. Asymptotically flat spacetime in the field-theoretical formulation -- 4. Exact solutions of general relativity in the field-theoretical formalism -- 5. Field-theoretical derivation of cosmological perturbations -- 6. Currents and superpotentials on arbitrary backgrounds: Three approaches -- 7. Conservation laws in an arbitrary multi-dimensional metric theory -- 8. Conserved quantities in the Einstein-Gauss-Bonnet gravity -- 9. Generic gravity: Particle content, weak field limits, conserved charges -- 10. Conservation laws in covariant field theories with gauge symmetries -- Appendix A: Tensor quantities and tensor operations -- Appendix B: Retarded functions -- Bibliography -- Index |
author_facet |
Petrov, Alexander N., Petrov, Alexander N., Kopeikin, Sergei M., Lompay, Robert R., Tekin, Bayram, Kopeikin, Sergei M., Kopeikin, Sergei M., Lompay, Robert R., Lompay, Robert R., Tekin, Bayram, Tekin, Bayram, |
author_variant |
a n p an anp a n p an anp s m k sm smk r r l rr rrl b t bt |
author_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author2 |
Kopeikin, Sergei M., Kopeikin, Sergei M., Lompay, Robert R., Lompay, Robert R., Tekin, Bayram, Tekin, Bayram, |
author2_variant |
s m k sm smk r r l rr rrl b t bt |
author2_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author_sort |
Petrov, Alexander N., |
title |
Metric Theories of Gravity : Perturbations and Conservation Laws / |
title_sub |
Perturbations and Conservation Laws / |
title_full |
Metric Theories of Gravity : Perturbations and Conservation Laws / Alexander N. Petrov, Sergei M. Kopeikin, Robert R. Lompay, Bayram Tekin. |
title_fullStr |
Metric Theories of Gravity : Perturbations and Conservation Laws / Alexander N. Petrov, Sergei M. Kopeikin, Robert R. Lompay, Bayram Tekin. |
title_full_unstemmed |
Metric Theories of Gravity : Perturbations and Conservation Laws / Alexander N. Petrov, Sergei M. Kopeikin, Robert R. Lompay, Bayram Tekin. |
title_auth |
Metric Theories of Gravity : Perturbations and Conservation Laws / |
title_alt |
Frontmatter -- Preface -- Contents -- List of Figures -- Primary notations -- 1. Conservation laws in theoretical physics: A brief introduction -- 2. Field-theoretical formulation of general relativity: The theory -- 3. Asymptotically flat spacetime in the field-theoretical formulation -- 4. Exact solutions of general relativity in the field-theoretical formalism -- 5. Field-theoretical derivation of cosmological perturbations -- 6. Currents and superpotentials on arbitrary backgrounds: Three approaches -- 7. Conservation laws in an arbitrary multi-dimensional metric theory -- 8. Conserved quantities in the Einstein-Gauss-Bonnet gravity -- 9. Generic gravity: Particle content, weak field limits, conserved charges -- 10. Conservation laws in covariant field theories with gauge symmetries -- Appendix A: Tensor quantities and tensor operations -- Appendix B: Retarded functions -- Bibliography -- Index |
title_new |
Metric Theories of Gravity : |
title_sort |
metric theories of gravity : perturbations and conservation laws / |
series |
De Gruyter Studies in Mathematical Physics , |
series2 |
De Gruyter Studies in Mathematical Physics , |
publisher |
De Gruyter, |
publishDate |
2017 |
physical |
1 online resource (XXIV, 597 p.) Issued also in print. |
contents |
Frontmatter -- Preface -- Contents -- List of Figures -- Primary notations -- 1. Conservation laws in theoretical physics: A brief introduction -- 2. Field-theoretical formulation of general relativity: The theory -- 3. Asymptotically flat spacetime in the field-theoretical formulation -- 4. Exact solutions of general relativity in the field-theoretical formalism -- 5. Field-theoretical derivation of cosmological perturbations -- 6. Currents and superpotentials on arbitrary backgrounds: Three approaches -- 7. Conservation laws in an arbitrary multi-dimensional metric theory -- 8. Conserved quantities in the Einstein-Gauss-Bonnet gravity -- 9. Generic gravity: Particle content, weak field limits, conserved charges -- 10. Conservation laws in covariant field theories with gauge symmetries -- Appendix A: Tensor quantities and tensor operations -- Appendix B: Retarded functions -- Bibliography -- Index |
isbn |
9783110351781 9783110762495 9783110719543 9783110645309 9783110540550 9783110625264 9783110548235 9783110383409 9783110351736 |
issn |
2194-3532 ; |
callnumber-first |
Q - Science |
callnumber-subject |
QB - Astronomy |
callnumber-label |
QB337 |
callnumber-sort |
QB 3337 |
url |
https://doi.org/10.1515/9783110351781 https://www.degruyter.com/isbn/9783110351781 https://www.degruyter.com/document/cover/isbn/9783110351781/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
530 - Physics |
dewey-ones |
531 - Classical mechanics; solid mechanics |
dewey-full |
531.1 |
dewey-sort |
3531.1 |
dewey-raw |
531.1 |
dewey-search |
531.1 |
doi_str_mv |
10.1515/9783110351781 |
oclc_num |
986030583 |
work_keys_str_mv |
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status_str |
n |
ids_txt_mv |
(DE-B1597)276799 (OCoLC)986030583 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2017 Part 1 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 Title is part of eBook package: De Gruyter DG Studies in Mathematical Physics eBook-Package Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2017 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE ENGLISH 2017 Title is part of eBook package: De Gruyter EBOOK PACKAGE Physics, Chemistry, Materials Sc, Geosc 2017 |
is_hierarchy_title |
Metric Theories of Gravity : Perturbations and Conservation Laws / |
container_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2017 Part 1 |
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