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

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 Lichnérowicz.

arXiv comment5 pages; e mail: [email protected]

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