Conserved currents and superpotentials in teleparallel equivalent of GRстатья
Статья опубликована в высокорейтинговом журнале
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 7 июля 2020 г.
Аннотация:We study the teleparallel equivalent of general relativity (TEGR) withLagrangian that includes the flat (inertial) spin connection and that is evidentlyinvariant with respect to local Lorentz rotations. Applying directly theNoether theorem, we construct new expressions for conserved currents andrelated superpotentials. They are covariant both under coordinate transformationsand local Lorentz rotations, and allow us to construct well defined conservedcharges, unlike earlier approaches. The advantage is achieved by anexplicit presence of a displacement vector in the new expressions that canbe interpreted as a Killing vector, as a proper vector of an observer, etc. Thenew expressions are used to introduce a principle for definition of an inertialspin connection that is undetermined one in the TEGR from the start. Theoreticalresults are applied to calculate mass for the Schwarzschild black holeand densities of conserved quantities for freely falling observers both in Friedmann–Lemaître–Robertson–Walker world of all the three signs of curvatureand in (anti-)de Sitter space.