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7. Conservation laws in an arbitrary multi-dimensional metric theory
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Alexander N. Petrov
, Sergei M. Kopeikin , Robert R. Lompay und Bayram Tekin
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Kapitel in diesem Buch
- Frontmatter I
- Preface V
- Contents XIII
- List of Figures XX
- Primary notations XXI
- 1. Conservation laws in theoretical physics: A brief introduction 1
- 2. Field-theoretical formulation of general relativity: The theory 89
- 3. Asymptotically flat spacetime in the field-theoretical formulation 143
- 4. Exact solutions of general relativity in the field-theoretical formalism 189
- 5. Field-theoretical derivation of cosmological perturbations 217
- 6. Currents and superpotentials on arbitrary backgrounds: Three approaches 299
- 7. Conservation laws in an arbitrary multi-dimensional metric theory 343
- 8. Conserved quantities in the Einstein-Gauss-Bonnet gravity 371
- 9. Generic gravity: Particle content, weak field limits, conserved charges 408
- 10. Conservation laws in covariant field theories with gauge symmetries 489
- Appendix A: Tensor quantities and tensor operations 533
- Appendix B: Retarded functions 553
- Bibliography 567
- Index 589
Kapitel in diesem Buch
- Frontmatter I
- Preface V
- Contents XIII
- List of Figures XX
- Primary notations XXI
- 1. Conservation laws in theoretical physics: A brief introduction 1
- 2. Field-theoretical formulation of general relativity: The theory 89
- 3. Asymptotically flat spacetime in the field-theoretical formulation 143
- 4. Exact solutions of general relativity in the field-theoretical formalism 189
- 5. Field-theoretical derivation of cosmological perturbations 217
- 6. Currents and superpotentials on arbitrary backgrounds: Three approaches 299
- 7. Conservation laws in an arbitrary multi-dimensional metric theory 343
- 8. Conserved quantities in the Einstein-Gauss-Bonnet gravity 371
- 9. Generic gravity: Particle content, weak field limits, conserved charges 408
- 10. Conservation laws in covariant field theories with gauge symmetries 489
- Appendix A: Tensor quantities and tensor operations 533
- Appendix B: Retarded functions 553
- Bibliography 567
- Index 589