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arXiv · 2303.16089

Teleparallel Minkowski Spacetime with Perturbative Approach for Teleparallel Gravity on a Proper Frame

Alexandre Landry·Robert J. van den Hoogen
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Abstract

A complete perturbation theory suitable for teleparallel gravity is developed. The proposed perturbation scheme takes into account perturbations of the coframe, the metric, and the spin-connection, while ensuring that the resulting perturbed system continues to describe a teleparallel gravity situation. The resulting perturbation scheme can be transformed to one in which perturbations all take place within the co-frame. A covariant definition of a teleparallel Minkowski geometry is proposed. We compute the perturbed field equations for $f(T)$ teleparallel gravity and discuss the stability of the teleparallel Minkowski geometry within $f(T)$ teleparallel gravity.

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Alexandre Landry, Robert J. van den Hoogen. 2023-03-28. Teleparallel Minkowski Spacetime with Perturbative Approach for Teleparallel Gravity on a Proper Frame. https://doi.org/10.3390/universe9050232

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