Bona-Massó slices of Reissner-Nordström spacetimes

Autor: Sean E. Li, Thomas W. Baumgarte, Kenneth A. Dennison, H. P. de Oliveira
Rok vydání: 2022
Předmět:
DOI: 10.48550/arxiv.2207.12438
Popis: Motivated by recent numerical relativity simulations of charged black holes and their interactions, we explore the properties of common slicing conditions in Reissner-Nordstr\"om spacetimes. Specifically, we consider different choices for the so-called Bona-Mass\'o function, and construct static and spherically symmetric slices of the Reissner-Nordstr\"om 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-Mass\'o functions considered here, in the extremal limit $\lambda \to 1$.
Comment: 9 pages, 10 figures
Databáze: OpenAIRE