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Long-wavelength iteration scheme and scalar-tensor gravity

G. L. Comer

Nathalie Deruelle

David Langlois

  • Department of Science and Mathematics, Parks College of Saint Louis University, Cahokia, Illinois 62206

  • Département d’Astrophysique Relativiste et de Cosmologie, Centre National de la Recherche Scientifique, Observatoire de Paris, 92195 Meudon Cedex, France
  • Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, England

  • Département d’Astrophysique Relativiste et de Cosmologie, Centre National de la Recherche Scientifique, Observatoire de Paris, 92195 Meudon Cedex, France

Phys. Rev. D 55, 3497 – Published 15 March, 1997

DOI: https://doi.org/10.1103/PhysRevD.55.3497

Abstract

Inhomogeneous and anisotropic cosmologies are modeled within the framework of scalar-tensor gravity theories. The inhomogeneities are calculated to third order in the so-called long-wavelength iteration scheme. We write the solutions for general scalar coupling and discuss what happens to the third-order terms when the scalar-tensor solution approaches at first order the general relativistic one. We work out in some detail the case of Brans-Dicke coupling and determine the conditions for which the anisotropy and inhomogeneity decay as time increases. The matter is taken to be that of perfect fluid with a baryotropic equation of state.

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