Torsion Wave Solutions in Yang-Mielke Theory of Gravity

Abstract EN

The approach of metric-affine gravity initially distinguishes it from Einstein’s general relativity.

Using anindependent affine connection produces a theory with 10 + 64 unknowns.

We write down the Yang-Mills actionfor the affine connection and produce the Yang-Mills equation and the so-called complementary Yang-Millsequation by independently varying with respect to the connection and the metric, respectively.

We call thistheory the Yang-Mielke theory of gravity.

We construct explicit spacetimes with pp-metric and purely axialtorsion and show that they represent a solution of Yang-Mills theory.

Finally we compare these spacetimes toexisting solutions of metric-affine gravity and present future research possibilities.