Exact Solutions of Five Dimensional Anisotropic Cosmologies

Details Exact Solutions of Five Dimensional Anisotropic Cosmologies Exact Solutions of Five Dimensional Anisotropic Cosmologies

2002-03-15

arxiv.org/abs/gr-qc/0203055v3

Phys.Rev. D66 (2002) 027503

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages

Scientific paper

10.1103/PhysRevD.66.027503

We solve the five dimensional vacuum Einstein equations for several kinds of anisotropic geometries. We consider metrics in which the spatial slices are characterized as Bianchi types-II and V, and the scale factors are dependent both on time and a non-compact fifth coordinate. We examine the behavior of the solutions we find, noting for which parameters they exhibit contraction over time of the fifth scale factor, leading naturally to dimensional reduction. We explore these within the context of the induced matter model: a Kaluza-Klein approach that associates the extra geometric terms due to the fifth coordinate with contributions to the four dimensional stress-energy tensor.

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