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APS » Journals » Phys. Rev. D » Volume 49 » Issue 6
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Phys. Rev. D 49, 2759–2768 (1994)

Growth or decay of cosmological inhomogeneities as a function of their equation of state

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G. L. Comer
Département d’Astrophysique Relativiste et de Cosmologie, Centre National de la Recherche Scientifique, Observatoire de Paris, 92195 Meudon, France

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

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

Joe Parry
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, England

Received 9 September 1993; published in the issue dated 15 March 1994

We expand Einstein’s equations in the synchronous gauge in terms of a purely space-dependent, ‘‘seed,’’ metric. The (nonlinear) solution accurately describes a universe inhomogeneous at scales larger than the Hubble radius. We show that the inhomogeneities grow or decay, as time increases, depending on the equation of state for the matter (supposed to be a perfect fluid). We then consider the case when matter is a scalar field with an arbitrary potential. Finally we discuss the generality of the model and show that it is an attractor for a class of generic solutions of Einstein’s equations.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.49.2759
DOI:
10.1103/PhysRevD.49.2759
PACS:
98.80.Cq, 04.50.+h
 
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