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arXiv · 0801.2372

Hyperbolicity of scalar-tensor theories of gravity

Marcelo Salgado·David Martinez-del Rio·Miguel Alcubierre·Dario Núñez
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Abstract

Two first order strongly hyperbolic formulations of scalar-tensor theories of gravity (STT) allowing nonminimal couplings (Jordan frame) are presented along the lines of the 3+1 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 posses a well posed Cauchy problem even when formulated in the Jordan frame.

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Marcelo Salgado, David Martinez-del Rio, Miguel Alcubierre, Dario Núñez. 2008-04-28. Hyperbolicity of scalar-tensor theories of gravity. https://doi.org/10.1103/physrevd.77.104010

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