Metric theories of gravity.

Print version record.

Includes bibliographical references and index.

Conservation laws in theoretical physics: a brief introduction -- Field-theoretical formulation of general relativity: the theory -- Asymptotically flat spacetime in the field-theoretical formulation -- Exact solutions of general relativity in the field-theoretical formalism -- Field-theoretical derivation of cosmological perturbations -- Currents and superpotentials on arbitrary backgrounds: three approaches -- Conservation laws in an arbitrary multi-dimensional metric theory -- Conserved quantities in the Einstein-Gauss-Bonnet gravity -- Generic gravity: particle content, weak field limits, conserved charges -- Conservation laws in covariant field theories with gauge symmetries.

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.

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