Torsion Wave Solutions in Yang-Mielke Theory of Gravity
General Relativity and Quantum Cosmology
2015-09-28 v1
Abstract
The approach of metric-affine gravity initially distinguishes it from Einstein's general relativity. Using an independent affine connection produces a theory with 10+64 unknowns. We write down the Yang-Mills action for the affine connection and produce the Yang-Mills equation and the so called complementary Yang-Mills equation by independently varying with respect to the connection and the metric respectively. We call this theory the Yang-Mielke theory of gravity. We construct explicit spacetimes with pp-metric and purely axial torsion and show that they represent a solution of Yang-Mills theory. Finally we compare these spacetimes to existing solutions of metric-affine gravity and present future research possibilities.
Keywords
Cite
@article{arxiv.1509.07536,
title = {Torsion Wave Solutions in Yang-Mielke Theory of Gravity},
author = {Vedad Pasic and Elvis Barakovic},
journal= {arXiv preprint arXiv:1509.07536},
year = {2015}
}