A Radiating and Rotating Metric

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A non-static solution of Einstein's field equations of General Relativity representing the gravitational field of an axisymmetric radiation flow is obtained using the Eddington or the Kerr-Schild form for the metric. A solution obtained here manifestly corresponds to the Kerr metric with its mass-parameter, $m$, being an arbitrary function of the advanced (retarded) null-time coordinate. Then, when $m$ is constant, the solution reduces to the standard Kerr metric expressed in terms of the used null coordinate. Further, when the angular momentum parameter, $a$, a constant here, is set to zero, the solution reduces to the Vaidya metric expressed in terms of the used null-coordinate.
Latex file 11 pages

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/36447

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/9902071
 http://arxiv.org/abs/gr-qc/9902071

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arXiv