Abstract
We present an analysis of a n-dimensional vacuum Einstein field equations in which four-dimensional space-time is described by a Friedmann-Robertson-Walker (FRW) metric and that of extra dimensions by a Kasner-type Euclidean metric. The field equations are interpreted as four-dimensional Einstein equations with effective matter properties. The effective matter is then treated as a viscous fluid. We consider the theories of imperfect fluid given by Eckart, truncated Israel-Stewart, and full Israel-Stewart theories, and obtain cosmological solutions for a flat model of the universe. The imperfect fluid assumption admits here power law inflation for the three-physical space in some cases.
- Received 24 October 2000
DOI:https://doi.org/10.1103/PhysRevD.64.027302
©2001 American Physical Society