Bona-Massó slices of Reissner-Nordström spacetimes

Abstract

Motivated by recent numerical relativity simulations of charged black holes and their interactions, we explore the properties of common slicing conditions in Reissner-Nordström spacetimes. Specifically, we consider different choices for the so-called Bona-Massó function, and construct static and spherically symmetric slices of the Reissner-Nordström spacetime satisfying the corresponding slicing conditions. For some of these functions the construction is entirely analytical, while for others we use numerical root-finding to solve quartic equations. Our solutions are parameterized by the charge-to-mass ratio $\lambda =Q/M$ and approach a unique slice, independent of the Bona-Massó functions considered here, in the extremal limit $\lambda \to 1$.

9 pages, 10 figures

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Cited by in corpus (2)

• Spherically symmetric black hole spacetimes on hyperboloidal slices
• Dynamical perturbations of black-hole punctures: effects of slicing conditions