Regular Type III and Type N Approximate Solutions

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New type III and type N approximate solutions which are regular in the linear approximation are shown to exist. For that, we use complex transformations on self-dual Robinson-Trautman metrics rather then the classical approach. The regularity criterion is the boundedness and vanishing at infinity of a scalar obtained by saturating the Bel-Robinson tensor of the first approximation by a time-like vector which is constant with respect to the zeroth approximation.
6 pages, no figures

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/33894

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0105064
 http://arxiv.org/abs/gr-qc/0105064

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arXiv