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Conserved currents and superpotentials in teleparallel equivalent of GR

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dc.contributor.author Emtsova E.D.
dc.contributor.author Petrov A.N.
dc.contributor.author Toporensky A.V.
dc.date.accessioned 2021-02-25T20:34:47Z
dc.date.available 2021-02-25T20:34:47Z
dc.date.issued 2020
dc.identifier.issn 0264-9381
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/161822
dc.description.abstract © 2020 IOP Publishing Ltd. We study the teleparallel equivalent of general relativity (TEGR) with Lagrangian that includes the flat (inertial) spin connection and that is evidently invariant with respect to local Lorentz rotations. Applying directly the Noether theorem, we construct new expressions for conserved currents and related superpotentials. They are covariant both under coordinate transformations and local Lorentz rotations, and allow us to construct well defined conserved charges, unlike earlier approaches. The advantage is achieved by an explicit presence of a displacement vector in the new expressions that can be interpreted as a Killing vector, as a proper vector of an observer, etc. The new expressions are used to introduce a principle for definition of an inertial spin connection that is undetermined one in the TEGR from the start. Theoretical results are applied to calculate mass for the Schwarzschild black hole and densities of conserved quantities for freely falling observers both in Friedmann-Lemaître-Robertson-Walker world of all the three signs of curvature and in (anti-)de Sitter space.
dc.relation.ispartofseries Classical and Quantum Gravity
dc.subject black holes
dc.subject conservation laws
dc.subject cosmology
dc.subject Teleparallel equivalent of general relativity
dc.title Conserved currents and superpotentials in teleparallel equivalent of GR
dc.type Article
dc.relation.ispartofseries-issue 9
dc.relation.ispartofseries-volume 37
dc.collection Публикации сотрудников КФУ
dc.source.id SCOPUS02649381-2020-37-9-SID85085142770


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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