Hyperbolicity of scalar-tensor theories of gravity

被引：40

作者：

Salgado, Marcelo ^{[1
]}

Martinez-del Rio, David ^{[1
]}

Alcubierre, Miguel ^{[1
]}

Nunez, Dario ^{[1
,2
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Mexico City 04510, DF, Mexico

[2] Albert Einstein Inst, Max Planck Inst Gravitationsphys, D-14476 Golm, Germany

来源：

PHYSICAL REVIEW D | 2008年 / 77卷 / 10期

关键词：

D O I：

10.1103/PhysRevD.77.104010

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Two first order strongly hyperbolic formulations of scalar-tensor theories of gravity allowing non-minimal couplings (Jordan frame) are presented along the lines of the 3 + I decomposition of spacetime. One is based on the Bona-Masso formulation, while the other one employs a conformal decomposition similar to that of Baumgarte-Shapiro-Shibata-Nakamura. A modified Bona-Masso slicing condition adapted to the scalar-tensor theory is proposed for the analysis. This study confirms that the scalar-tensor theory has a well-posed Cauchy problem even when formulated in the Jordan frame.

引用

页数：14

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