Lorentz symmetries and primary constraints in covariant teleparallel gravity
Document Type
Article
Publication Date
Winter 12-15-2021
Abstract
In this article we explore local Lorentz transformations in theories of gravity based on the teleparallel formalism. For the teleparallel equivalent of general relativity (TEGR), the spin connection plays no role in the equations of motion; therefore, it is possible to simply put it equal to zero with no change in physical quantities, and then the theory is formulated purely in terms of the tetrad field which can be freely chosen in any way. In nonlinear modifications of TEGR, this is a more intricate issue, and vanishing spin connection is then the Weitzenböck gauge choice which imposes restrictions on the choice of tetrad. This has led to considering the so-called covariant formulation of f(T) gravity. We examine the primary constraints arising when passing to the Hamiltonian framework and compute their algebra. We show that the problems of local Lorentz symmetry breaking still appear in this formulation, even if in a different disguise. © 2021 American Physical Society.
Recommended Citation
Golovnev, Alexey and Guzmán, María José, "Lorentz symmetries and primary constraints in covariant teleparallel gravity" (2021). Centre for Theoretical Physics. 231.
https://buescholar.bue.edu.eg/centre_theoretical_physics/231