Plane Symmetric Inhomogeneous Cosmological Models with a Perfect Fluid in General Relativity

Abstract

In this paper we investigate a class of solutions of Einstein equations for the plane-symmetric perfect fluid case with shear and vanishing acceleration. If these solutions have shear, they must necessarily be non-static. We examine the integrable cases of the field equations systematically. Among the cases with shear we find three classes of solutions.

arXiv comment12 pages, no figures, corrected minor typos

References in corpus (8)

• Plane-Symmetric Inhomogeneous Bulk Viscous Cosmological Models with Variable $\Lambda$
• On the sources of static plane symmetric vacuum space-times
• A class of plane symmetric perfect-fluid cosmologies with a Kasner-like singularity
• On the Nature of Singularities in Plane Symmetric Scalar Field Cosmologies
• Plane symmetric analogue of NUT space
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Cited by in corpus (4)

• Inhomogeneous Bulk Viscous Fluid Universe with Electromagnetic Field and Variable $\Lambda$-Term
• The study of Kantowski-Sachs perfect fluid cosmological model in modified gravity
• Symmetry Group Analysis for perfect fluid Inhomogeneous Cosmological Models in General Relativity
• A Plane-Symmetric Inhomogeneous Cosmological Model of Perfect Fluid Distribution with Electromagnetic Field I