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

Authors

Daniel Blixt, Laboratory of Theoretical Physics, Institute of Physics, University of Tartu, W. Ostwaldi 1, Tartu, 50411, Estonia
Rafael Ferraro, Instituto de Astronomía y Física Del Espacio (IAFE, CONICET-UBA), Casilla de Correo 67, Sucursal 28, Buenos Aires, 1428, Argentina
Alexey Golovnev, Centre for Theoretical Physics, British University in Egypt, El Sherouk City, Cairo Governorate, 11837, Egypt
María José Guzmán, Universidad de La Serena

Document Type

Article

Publication Date

4-15-2022

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. © 2022 American Physical Society.

Recommended Citation

Blixt, Daniel; Ferraro, Rafael; Golovnev, Alexey; and Guzmán, María José, "Lorentz gauge-invariant variables in torsion-based theories of gravity" (2022). Centre for Theoretical Physics. 227.
https://buescholar.bue.edu.eg/centre_theoretical_physics/227