Behavior of Kasner cosmologies with induced matter

Paul Halpern
Phys. Rev. D 63, 024009 – Published 18 December 2000
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Abstract

We extend the induced matter model, previously applied to a variety of isotropic cases, to a generalization of Bianchi type-I anisotropic cosmologies. The induced matter model is a 5D Kaluza-Klein approach in which assumptions of compactness are relaxed for the fifth coordinate, leading to extra geometric terms. One interpretation of these extra terms is to identify them as an “induced matter” contribution to the stress-energy tensor. In similar spirit, we construct a five dimensional metric in which the spatial slices possess Bianchi type-I geometry. We find a set of solutions for the five dimensional Einstein equations, and determine the pressure and density of induced matter. We comment on the long-term dynamics of the model, showing that the assumption of positive density leads to the contraction over time of the fifth scale factor.

  • Received 19 June 2000

DOI:https://doi.org/10.1103/PhysRevD.63.024009

©2000 American Physical Society

Authors & Affiliations

Paul Halpern

  • Department of Mathematics, Physics and Computer Science, University of the Sciences in Philadelphia, 600 South 43rd Street, Philadelphia, Pennsylvania 19104

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Vol. 63, Iss. 2 — 15 January 2001

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