On the first $G_1$ stiff fluid spike solution in General Relativity

Abstract

Using the Geroch transformation we obtain the first example of an exact stiff fluid spike solution to the Einstein field equations in a closed form exhibiting a spacelike $G_1$ group of symmetries (i.e., with a single isometry). This new solution is of Petrov type I and exhibits a spike crossing which persists to the past, which allows us to better understand spike crossings in the context of structure formation.

13 pages, 1 figure. Figure updated. Minor changes to match published version

References in corpus (2)

• Spikes in the Mixmaster regime of G_2 cosmologies
• Generating matter inhomogeneities in general relativity

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