Weyl-invariant extension of the Metric-Affine Gravity
General Relativity and Quantum Cosmology
2015-01-23 v2
Abstract
Metric-affine geometry provides a non-trivial extension of the general relativity where the metric and connection are treated as the two independent fundamental quantities in constructing the space-time (with non-vanishing torsion and non-metricity). In this paper we study the generic form of action in this formalism, and then construct the Weyl-invariant version of this theory. It is shown that in Weitzenbock space, the obtained Weyl-invariant action can cover the conformally invariant teleparallel action. Finally the related field equations are obtained in the general case.
Keywords
Cite
@article{arxiv.1310.1452,
title = {Weyl-invariant extension of the Metric-Affine Gravity},
author = {R. Vazirian and M. R. Tanhayi and Z. A. Motahar},
journal= {arXiv preprint arXiv:1310.1452},
year = {2015}
}
Comments
10 pages, no figure, references added, typos corrected and overall improvement