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arXiv · 2201.11102

Lorentz gauge-invariant variables in torsion-based theories of gravity

Daniel Blixt·Rafael Ferraro·Alexey Golovnev·María-José Guzmán
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Abstract

General relativity dynamics can be derived from different actions -- which depart from the Einstein-Hilbert action in boundary terms -- and for different choices of the dynamical variables. Among them, the teleparallel equivalent of general relativity is a torsion-based theory for the tetrad field. More general torsion-based theories have been built in the last years, intending to supersede general relativity. There are two current ways to formulate such theories; one includes a spin-connection and the other does not. We discuss the notion of Lorentz gauge invariance in such theories, and give a simple but important proof that both formulations are physically equivalent.

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Daniel Blixt, Rafael Ferraro, Alexey Golovnev, María-José Guzmán. 2022-01-26. Lorentz gauge-invariant variables in torsion-based theories of gravity. https://doi.org/10.1103/physrevd.105.084029

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