On Applications of Campbell's Embedding Theorem

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Abstract

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A little known theorem due to Campbell is employed to establish the local embedding of a wide class of 4-dimensional spacetimes in 5-dimensional Ricci-flat spaces. An embedding for the class of n-dimensional Einstein spaces is also found. The local nature of Campbell's theorem is highlighted by studying the embedding of some lower-dimensional spaces.
17 pages, standard Latex source

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/178607

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/9907040
 http://arxiv.org/abs/gr-qc/9907040
 Class.Quant.Grav.14:865-879,1997
 doi:10.1088/0264-9381/14/4/005

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arXiv