Gravity as a Gauge Theory of Translations
General Relativity and Quantum Cosmology
2014-11-20 v1
Abstract
The Poincar\'e group can be interpreted as the group of isometries of a minkowskian space. This point of view suggests to consider the group of isometries of a given space as the suitable group to construct a gauge theory of gravity. We extend these ideas to the case of maximally symmetric spaces to reach a realistic theory including the presence of a cosmological constant. Introducing the concept of "minimal tetrads" we deduce Einstein gravity in the vacuum as a gauge theory of translations.
Keywords
Cite
@article{arxiv.0907.2871,
title = {Gravity as a Gauge Theory of Translations},
author = {J. Martin-Martin and A. Tiemblo},
journal= {arXiv preprint arXiv:0907.2871},
year = {2014}
}
Comments
14 pages. LaTeX 2e