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Geometry and covariance of symmetric teleparallel theories of gravity

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arxiv 2306.09289 v3 pith:4QI2GD7Q submitted 2023-06-15 gr-qc hep-th

Daniel Blixt , Alexey Golovnev , Maria-Jose Guzman , Ramazan Maksyutov This is my paper · ORCID
classification gr-qchep-th
keywords teleparallelcovariantsymmetriccovariantisationequationsexplicitlyframeworksgravity
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We present the geometric foundations and derivations of equations of motion for symmetric teleparallel theories of gravity in the coincident gauge and covariant frameworks. We discuss the theoretical challenges introduced by the auxiliary fields responsible for the covariantisation procedure. We elucidate a tetradic structure interpretation behind this covariant formulation. Regarding the effect of covariantisation at the level of the equations of motion, we explicitly show that the only physical change, in case of setting an arbitrary energy-momentum tensor to the right hand side, resides in the requirement of the fulfillment of the covariant conservation laws. Also, we have explicitly introduced the fundamental covariantly-conserved teleparallel tetrad for the symmetric teleparallel frameworks.

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Cited by 3 Pith papers

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