A plane-symmetric solution of Einstein's equations with perfect fluidand an equation of state p = γρ.

Mathematics – Logic

Scientific paper

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Cosmological Models:General Relativity, General Relativity:Cosmological Models

Scientific paper

A new class of plane-symmetric solutions of Einstein's equations with perfect fluid source and an equation of statep=γϱ (γ=const.) is presented. It contains the static vacuum solution, a special Kasner solution and the flat Friedmann-Robertson-Walker spacetime as subclasses. The only class for which the matter distribution is truly inhomogeneous (class D in the sequel) represents matter concentrated around a planar orbit of the symmetry group in an expanding universe.

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