Embeddings in Spacetimes Sourced by Scalar Fields

Details Embeddings in Spacetimes Sourced by Scalar Fields Embeddings in Spacetimes Sourced by Scalar Fields

2001-11-27

arxiv.org/abs/gr-qc/0111094v2

J.Math.Phys. 44 (2003) 5108-5119

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTEX (11 pages)/ To appear in the Journal of Mathematical Physics

Scientific paper

10.1063/1.1610237

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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