Spacetime metrics from gauge potentials
General Relativity and Quantum Cosmology
2014-03-28 v1
Abstract
I present an approach to gravity in which the spacetime metric is constructed from a non-Abelian gauge potential with values in the Lie algebra of the group U(2) (or the Lie algebra of quaternions). If the curvature of this potential vanishes, the metric reduces to a canonical curved background form reminiscent of the Friedmann S^3 cosmological metric.
Keywords
Cite
@article{arxiv.1403.7054,
title = {Spacetime metrics from gauge potentials},
author = {E. Minguzzi},
journal= {arXiv preprint arXiv:1403.7054},
year = {2014}
}
Comments
8 pages. Contribution to the special "Symmetry" volume: Physics based on two-by-two matrices