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Embeddings in Spacetimes Sourced by Scalar Fields

E. Anderson·F. Dahia·James E. Lidsey·C. Romero
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Abstract

The extension of the Campbell-Magaard embedding theorem to general relativity with minimally-coupled scalar fields is formulated and proven. The result is applied to the case of a self-interacting scalar field for which new embeddings are found, and to Brans-Dicke theory. The relationship between Campbell-Magaard theorem and the general relativity, Cauchy and initial value problems is outlined.

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E. Anderson, F. Dahia, James E. Lidsey, C. Romero. 2003-09-25. Embeddings in Spacetimes Sourced by Scalar Fields. https://doi.org/10.1063/1.1610237

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