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On Applications of Campbell's Embedding Theorem

James E. Lidsey·Carlos Romero·Reza Tavakol·Steve Rippl
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Abstract

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.

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James E. Lidsey, Carlos Romero, Reza Tavakol, Steve Rippl. 1999-07-09. On Applications of Campbell's Embedding Theorem. https://doi.org/10.1088/0264-9381%2F14%2F4%2F005

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