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Hyperbolicity of scalar-tensor theories of gravity

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arxiv 0801.2372 v2 pith:KMI7OXDX submitted 2008-01-15 gr-qc astro-phhep-thmath-phmath.MP

Hyperbolicity of scalar-tensor theories of gravity

classification gr-qc astro-phhep-thmath-phmath.MP
keywords scalar-tensorbona-massodecompositionframegravityjordantheoriestheory
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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