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Phys. Rev. D 52, 5612–5627 (1995)

Anisotropic scalar-tensor cosmologies

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José P. Mimoso
Département de Física, F.C.L., Ed C1, Campo Grande, 1700 Lisboa, Portugal

David Wands
Astronomy Centre, School of Mathematical and Physical Sciences, University of Sussex, Brighton, BN1 9QH, United Kingdom

Received 27 January 1995; published in the issue dated 15 November 1995

We examine homogeneous but anisotropic cosmologies in scalar-tensor gravity theories, including Brans-Dicke gravity. We present a method for deriving solutions for any isotropic perfect fluid with a barotropic equation of state (p∝ρ) in a spatially flat (Bianchi type I) cosmology. These models approach an isotropic, general relativistic solution as the expansion becomes dominated by the barotropic fluid. All models that approach general relativity isotropize except for the case of a maximally stiff fluid. For stiff fluid or radiation or in vacuum we are able to give solutions for arbitrary scalar-tensor theories in a number of anisotropic Bianchi and Kantowski-Sachs metrics. We show how this approach can also be used to derive solutions from the low-energy string effective action. We discuss the nature, and possibly avoidance of, the initial singularity where both shear and non-Einstein behavior is important.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.52.5612
DOI:
10.1103/PhysRevD.52.5612
PACS:
98.80.Hw, 04.50.+h, 98.80.Cq