Field-theoretical construction of currents and superpotentials in Lovelock gravityстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 20 декабря 2019 г.
Аннотация:Conserved currents and related superpotentials for perturbations on arbitrary
backgrounds in the Lovelock theory are constructed. We use the Lagrangian
based field-theoretical method where perturbations are considered as
dynamical fields propagating on a given background. Such a formulation is
exact (not approximate) and equivalent to the theory in the original metric
form. From the very start, using Noether theorem, we derive the Noether–
Klein identities and adopt them for the purposes of the current work. Applying
these identities in the framework of Lovelock theory, we construct conserved
currents, energy-momentum tensors out of them, and related superpotentials
with arbitrary displacement vectors, not restricting to Killing vectors. A
comparison with the well known Abbott–Deser–Tekin approach is given.
The developed general formalism is applied to give conserved quantities for
perturbations on anti-de Sitter (AdS) backgrounds. As a test we calculate mass
of the Schwarzschild–AdS black hole in the Lovelock theory in arbitrary D
dimensions. Proposals for future applications are presented.