Viscous Cosmologies with Extra Dimensions
B. C. Paul (North Bengal University)
TL;DR
This paper explores higher-dimensional vacuum Einstein equations with a 4D FRW universe and extra dimensions modeled by Kasner metrics, deriving cosmological solutions with imperfect fluid matter using various fluid theories.
Contribution
It introduces a novel analysis of n-dimensional vacuum Einstein equations with effective imperfect fluid matter in a cosmological setting.
Findings
Derived solutions for flat universe models with imperfect fluids.
Compared different imperfect fluid theories in cosmological solutions.
Provided insights into higher-dimensional cosmology with effective matter.
Abstract
We present an analysis of a n-dimensional vacuum Einstein field equations in which 4-dimensional space-time which is described by a Friedmann Robertson-Walker (FRW) metric and that of the extra dimensions by a Kasner type Euclidean metric. The field equations are interpreted as four dimensional Einstein equations with effective matter properties. We obtain solutions for the cases when the effective matter is described by imperfect 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.
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