Geometry and covariance of symmetric teleparallel theories of gravity

Authors

Daniel Blixt, Scuola Superiore Meridionale, Largo S. Marcellino 10, Napoli, I-80138, Italy
Alexey Golovnev, Centre for Theoretical Physics, British University in Egypt, El Sherouk City, Cairo Governorate, 11837, Egypt
María-José Guzmán, Laboratory of Theoretical Physics, Institute of Physics, University of Tartu, W. Ostwaldi 1, Tartu, 50411, Estonia
Ramazan Maksyutov, Department of High Energy and Elementary Particle Physics, Saint Petersburg State University, Ulianovskaya, 1, Stary Petergof, Saint Petersburg, Russian Federation

Document Type

Article

Publication Date

2-2024

Abstract

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 covariantization procedure. We elucidate a tetradic structure interpretation behind this covariant formulation. Regarding the effect of covariantization 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.

Recommended Citation

Blixt, Daniel; Golovnev, Alexey; Guzmán, María-José; and Maksyutov, Ramazan, "Geometry and covariance of symmetric teleparallel theories of gravity" (2024). Centre for Theoretical Physics and Computations. 316.
https://buescholar.bue.edu.eg/centre_theoretical_physics/316