Radiation in Yang-Mills formulation of gravity and a generalized pp-wave metric

TL;DR

This paper explores radiation in a Yang-Mills formulation of gravity, deriving field equations and energy-momentum tensors, and identifies a generalized pp-wave metric that satisfies these conditions, comparing results with Lichne9rowicz.

Contribution

It introduces a covariant radiation condition in Yang-Mills gravity and finds a generalized pp-wave metric satisfying both the field equations and radiation criteria.

Findings

Generalized pp-wave metric satisfies the field equations and radiation condition.

Covariant radiation condition effectively describes gravitational radiation.

Comparison with Lichne9rowicz's results highlights similarities and differences.

Abstract

The variational methods implemented on a quadratic Yang-Mills type Lagrangian yield two sets of equations interpreted as the field equations and the energy-momentum tensor for the gravitational field. A covariant condition is imposed on the energy-momentum tensor to represent the radiation field. A generalized pp-wave metric is found to simultaneously satisfy both the field equations and the radiation condition. The result is compared with that of Lichn\'{e}rowicz.