Non-orthogonally transitive $G_2$ spike solution

Abstract

We generalize the orthogonally transitive (OT) $G_2$ spike solution to the non-OT $G_2$ case. This is achieved by applying Geroch's transformation on a Kasner seed. The new solution contains two more parameters than the OT $G_2$ spike solution. Unlike the OT $G_2$ spike solution, the new solution always resolves its spike.

9 pages, 1 figure

References in corpus (3)

• Numerical simulations of general gravitational singularities
• Spikes in the Mixmaster regime of G_2 cosmologies
• Spike Oscillations

Cited by in corpus (6)

• Mathematical General Relativity
• The equivalence problem for generic four-dimensional metrics with two commuting Killing vectors
• Cylindrical spikes
• Hunting for gravitational quantum spikes
• Numerical confirmations of joint spike transitions in $G_2$ cosmologies
• Transition analysis of the non-OT $G_2$ stiff fluid spike solution