2008/01/31 by Marcelo Salgado, David Martinez-del Rio, David Martínez-del Río +3 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #astro-ph #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.77.104010
published as Phys.Rev.D77:104010,2008 · 15 pages two-column RevTex; minor corrections: references added, comments added, typos corrected; accepted for publication in Phys. Rev. D
arxiv created 2008/04/28 · openalex publication_date 2008/05/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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-Mass'o formulation, while the other one employs a conformal decomposition similar to that of Baumgarte-Shapiro-Shibata-Nakamura. A modified Bona-Mass'o 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.