Hyperbolicity of scalar-tensor theories of gravity
General Relativity and Quantum Cosmology
2008-11-26 v2 Astrophysics
High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0801.2372,
title = {Hyperbolicity of scalar-tensor theories of gravity},
author = {Marcelo Salgado and David Martinez-del Rio and Miguel Alcubierre and Dario Núñez},
journal= {arXiv preprint arXiv:0801.2372},
year = {2008}
}
Comments
15 pages two-column RevTex; minor corrections: references added, comments added, typos corrected; accepted for publication in Phys. Rev. D