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arXiv · 1606.07177

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

Alan Coley·Daniele Gregoris·Woei Chet Lim
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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.

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Alan Coley, Daniele Gregoris, Woei Chet Lim. 2016-10-13. On the first $G_1$ stiff fluid spike solution in General Relativity. https://doi.org/10.1088/0264-9381%2F33%2F21%2F215010

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