Hyperbolicity of scalar-tensor theories of gravity

Marcelo Salgado, David Martínez-del Río, Miguel Alcubierre, and Darío Núñez
Phys. Rev. D 77, 104010 – Published 9 May 2008

Abstract

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.

  • Received 14 January 2008

DOI:https://doi.org/10.1103/PhysRevD.77.104010

©2008 American Physical Society

Authors & Affiliations

Marcelo Salgado1,*, David Martínez-del Río1,†, Miguel Alcubierre1,‡, and Darío Núñez1,2,§

  • 1Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, México D.F. 04510, México
  • 2Max-Planck Institut für Gravitationsphysik, Albert Einstein Institut, 14476 Golm, Germany

  • *marcelo@nucleares.unam.mx
  • david.martinez@nucleares.unam.mx
  • malcubi@nucleares.unam.mx
  • §nunez@nucleares.unam.mx

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Issue

Vol. 77, Iss. 10 — 15 May 2008

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