Hyperbolicity of scalar-tensor theories of gravity

Journal Article · Thu May 15 00:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.104010· OSTI ID:21210190

Salgado, Marcelo; Martinez del Rio, David; Alcubierre, Miguel ^[1]; Nunez, Dario ^[1]

---

1. Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, Apartado Postal 70-543, Mexico D.F. 04510 (Mexico)

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-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 has a well-posed Cauchy problem even when formulated in the Jordan frame.

• OSTI ID: 21210190
• Journal Information: Physical Review. D, Particles Fields, Vol. 77, Issue 10; Other Information: DOI: 10.1103/PhysRevD.77.104010; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CAUCHY PROBLEM
GRAVITATION
SCALARS
SPACE-TIME
TENSORS