Phys. Rev. D 77, 104010 (2008) [14 pages]Hyperbolicity of scalar-tensor theories of gravityReceived 14 January 2008; published 9 May 2008 Two first order strongly hyperbolic formulations of scalar-tensor theories of gravity allowing nonminimal couplings (Jordan frame) are presented along the lines of the 3+1 decomposition of spacetime. One is based on the Bona-Massó formulation, while the other one employs a conformal decomposition similar to that of Baumgarte-Shapiro-Shibata-Nakamura. A modified Bona-Massó 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.77.104010
DOI:
10.1103/PhysRevD.77.104010
PACS:
04.50.−h, 04.20.Ex, 04.25.D−, 95.30.Sf
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