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Hyperbolicity of scalar-tensor theories of gravity

MPG-Autoren

Nunez,  Dario
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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PhyRevD77-104010.pdf
(Verlagsversion), 236KB

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Zitation

Salgado, M., Martinez-del Río, D., Alcubierre, M., & Nunez, D. (2008). Hyperbolicity of scalar-tensor theories of gravity. Physical Review D, 77(10): 104010. doi:10.1103/PhysRevD.77.104010.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-0013-6355-8
Zusammenfassung
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.