Conformal Teleparallel Theories and Weyl Geometry
Abstract
Despite the fact that General Relativity (GR) has been very successful, many alternative theories of gravity have attracted the attention of a significant number of theoretical physicists. Among these theories, we have theories with conformal symmetry. Here, the use of Weyl geometry to deal with conformal teleparallel gravity is reviewed in great detail. As an application, a model that can be set to be equivalent to the Teleparallel Equivalent of General Relativity (TEGR) and is invariant under diffeomorphisms, local Lorentz transformations (LLT) and Weyl transformations (WT) is created. Some -wave, spherically symmetric and cosmological solutions are obtained. It turns out that the class of possibles solutions is wider than that of TEGR. In addition, the total and the gravitational energies of the universe are calculated and analyzed.
Cite
@article{arxiv.1905.04764,
title = {Conformal Teleparallel Theories and Weyl Geometry},
author = {J. B. Formiga},
journal= {arXiv preprint arXiv:1905.04764},
year = {2019}
}
Comments
42 pages and 4 figures