Spatially inhomogeneous spacetimes with a self-symmetry of the second kind

Statistics – Computation

Scientific paper

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Cosmology, Einstein Equations, Weak Energy Interactions, Computational Astrophysics, Universe

Scientific paper

A series of spherically symmetric spatially inhomogeneous solutions of the Einstein field equations which admit a self-similar symmetry is presented. These nonempty solutions contain a constant vacuum energy density; thus, the similarity is of the second type. One type of solution evolves to a de Sitter spacetime and is capable of predicting a negative pressure which drives an inflationary (exponential) expansion. This type of solution confirms the cosmological 'no-hair' conjecture and is thus an attractive candidate for an early universe model evolving into an isotropic solution.

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