On conservation laws in teleparallel gravityстатья
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Дата последнего поиска статьи во внешних источниках: 12 августа 2020 г.
Аннотация:Applying directly the Noether theorem in the framework of the TeleparallelEquivalent of General Relativity (TEGR), we construct conserved quantities, currents andsuperpotentials. They are covariant both under coordinate transformations and under localLorentz rotations, unlike earlier approaches. This advantage is achieved by a presence inexpressions of conservation laws of a displacement vector that can be interpreted as a Killingvector, as a proper vector of an observer, etc. We introduce, as well, a principle for a definitionof an inertial spin connection that is an undetermined quantity in TEGR in the originalformulation. The new expressions for conserved quantities and the introduced principle areapplied to calculate mass for the Schwarzschild black hole and energy density for an observerfreely falling in spatially flat Friedmann world.