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arXiv · 1509.07536

Torsion Wave Solutions in Yang-Mielke Theory of Gravity

Vedad Pasic·Elvis Barakovic
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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.

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Vedad Pasic, Elvis Barakovic. 2015-09-24. Torsion Wave Solutions in Yang-Mielke Theory of Gravity. https://doi.org/10.1155/2015%2F239076

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