Embeddings in space-times sourced by scalar fields

被引:25
|
作者
Anderson, E
Dahia, F
Lidsey, JE
Romero, C
机构
[1] Queen Mary, Sch Math Sci, Astron Unit, London E1 4NS, England
[2] Univ Fed Paraiba, Dept Fis, BR-58059970 Joao Pessoa, Paraiba, Brazil
关键词
D O I
10.1063/1.1610237
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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 the Campbell-Magaard theorem and the General Relativity Cauchy and initial value problems is outlined. (C) 2003 American Institute of Physics.
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页码:5108 / 5119
页数:12
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