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2019

Modified teleparallel theories of gravity in symmetric spacetimes

Hohmann, Manuel, Järv, Laur, Krššák, Martin et al.

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Teleparallel gravity theories employ a tetrad and a Lorentz spin connection as independent variables in their covariant formulation.

In order to solve their field equations, it is helpful to search for solutions which exhibit certain amounts of symmetry, such as spherical or cosmological symmetry.
In this article we present how to apply the notion of spacetime symmetries known from Cartan geometry to teleparallel geometries.
We explicitly derive the most general tetrads and spin connections which are compatible with axial, spherical, cosmological and maximal symmetry.

Modified teleparallel theories of gravity in symmetric spacetimes · Around

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