Spike behavior in the approach to spacetime singularities

Abstract

We perform numerical simulations of the approach to spacetime singularities. The simulations are done with sufficient resolution to resolve the small scale features (known as spikes) that form in this process. We find an analytical formula for the shape of the spikes and show that the spikes in the simulations are well described by this formula.

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Cited by in corpus (11)

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• Cosmology using numerical relativity
• Mixmasters in Wonderland: Chaotic dynamics from Carroll limits of gravity
• Numerical Relativity as a New Tool for Fundamental Cosmology
• New framework for classical double copies
• Future Boundaries and the Black Hole Information Paradox
• Wave equations in conformally separable, accreting, rotating black holes
• Mixmaster Fluids Near the Big Bang
• Numerical confirmations of joint spike transitions in $G_2$ cosmologies