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arXiv · 2201.04691

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

Christian Pfeifer
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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 Weitzenb\"ck gauge are presented and a brief discussion about symmetric solutions of the anti-symmetric field equations in $f(T,B,\phi,X)$-gravity is given.

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Christian Pfeifer. 2022-01-12. A quick guide to spacetime symmetry and symmetric solutions in teleparallel gravity. https://arxiv.org/abs/2201.04691

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