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This monograph focuses on commonly used variational methods to provide a unified description and comparison of constructing conserved quantities for perturbations, while also examining symmetries in general relativity and modified gravity theories. It emphasizes the field-theoretical covariant formulation of perturbations, the canonical Noether approach, and the Belinfante procedure for symmetrization. The general formalism is utilized to develop gauge-invariant cosmological perturbation theory, conserved currents, and superpotentials that describe significant solutions in gravity theories. The book pays careful attention to constructing conserved quantities in both asymptotically-flat spacetimes and asymptotically constant curvature spacetimes, such as Anti-de Sitter space. A substantial portion of the content is suitable for graduate courses on conservation laws in general relativity. The series, dedicated to publishing high-level texts in mathematical physics, aims to cover current topics and methods with a strong emphasis on didactical presentation. It enables readers to understand, apply, and further develop mathematical methods relevant to physics problems, targeting advanced students and researchers, while also serving as supplementary reading for advanced lectures and seminars.
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Metric theories of gravity: pertubations and conservation laws, Alexander N. Petrov
- Langue
- Année de publication
- 2017
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