The field-theoretic approach in general relativity and other metric theories. A review

The field-theoretic approach in general relativity and other metric theories. A review

Автор: Petrov A. N., Pitts J. B.

Журнал: Пространство, время и фундаментальные взаимодействия @stfi

Рубрика: Гравитация, космология и фундаментальные поля

Статья в выпуске: 4 (29), 2019 года.

Бесплатный доступ

The representation of General Relativity (GR) and other metric theories of gravity in field-theoretic form on a background is reviewed. The gravitational field potential (metric perturbation) and other physical fields are propagated in an auxiliary background spacetime, which may be curved and may lack symmetries. Such a reformulation of a metric theory is exact and generally equivalent to its initial formulation in the standard geometrical form. The formalism is Lagrangian-based, in that the equations for the propagating fields are obtained by varying the related Lagrangian, as are the background field equations. A new sketch of how to include spinor fields is included. Conserved quantities are obtained by applying the Noether theorem to the Lagrangian as well. Conserved currents are expressed through divergences of antisymmetric tensor densities (superpotentials), connecting local perturbations with quasi-local conserved quantities. The gauge dependence due to the background metric is studied, reflecting the so-called non-localizability of gravitational energy in exact mathematical expressions formally, an infinity of localized energy distributions that, combined with the material energy, satisfy the continuity equation...

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Conservation laws, general relativity, modified metric theories

Короткий адрес: https://sciup.org/142224159

IDR: 142224159   |   DOI: 10.17238/issn2226-8812.2019.4.66-124

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