A study of higher dimensional inhomogeneous cosmological model
Subenoy Chakraborty, Ujjal Debnath
TL;DR
This paper introduces exact higher-dimensional inhomogeneous cosmological solutions to Einstein's equations, exploring their properties and asymptotic behavior, with specific focus on perfect fluid and dust cases.
Contribution
It presents new exact solutions for higher-dimensional inhomogeneous cosmologies using the Szekeres metric, including analysis of their asymptotic behavior.
Findings
Derived exact inhomogeneous solutions in higher dimensions
Analyzed solutions' asymptotic behavior
Explored solutions for perfect fluid and dust cases
Abstract
In this paper we present a class of exact inhomogeneous solutions to Einstein's equations for higher dimensional Szekeres metric with perfect fluid and a cosmological constant. We also show particular solutions depending on the choices of various parameters involved and for dust case. Finally, we examine the asymptotic behaviour of some of these solutions.
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