A quick guide to spacetime symmetry and symmetric solutions in teleparallel gravity

Abstract

The notion of spacetime symmetry is essential to describe gravitating physical systems like planets, stars, black holes, or the universe as a whole, since they possess, at least to good approximation, spherical, axial, or spatially homogeneous and isotropic symmetry, respectively. This article gives a quick overview over the known facts on spacetime symmetries in teleparallel gravity. The most general spherical, axial, or spatially homogeneous and isotropic tetrads in Weitzenbck gauge are presented and a brief discussion about symmetric solutions of the anti-symmetric field equations in $f(T,B,\varphi ,X)$-gravity is given.

Contribution to the proceedings of the X. Roberto A. Salmeron School of Physics (EFRAS), November 2021, Brasilia. The talk is available online at: https://youtu.be/3ks5_YvEG5I

Cited by in corpus (2)

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