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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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2017 Part 1
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2017]
©2017
Year of Publication:2017
Language:English
Series:De Gruyter Studies in Mathematical Physics , 38
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Physical Description:1 online resource (XXIV, 597 p.)
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Table of 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