Late Time Analysis for Maximal Slicing of Reissner-Nordstr\"om Puncture Evolutions

TL;DR

This paper provides an analytical late-time analysis of maximal slicing in Reissner-Nordström black hole spacetimes, examining lapse collapse, slice stretching, and validating results with numerical experiments.

Contribution

It offers the first detailed late-time analytical description of maximal slicing behavior for Reissner-Nordström black holes, including puncture lapse analysis.

Findings

Analytical description of lapse collapse at the throat and horizon.

Determination of lapse value at the puncture.

Numerical validation with Schwarzschild black hole simulations.

Abstract

We perform an analytic late time analysis for maximal slicing of the Reissner-Nordstr\"om black hole spacetime. In particular, we discuss the collapse of the lapse in terms of its late time behavior at the throat and at the event horizon for the even and the puncture lapse. In the latter case we also determine the value of the lapse at the puncture. Furthermore, in the limit of late times slice stretching effects are studied as they arise for maximal slicing of puncture evolutions. We perform numerical experiments for a Schwarzschild black hole with puncture lapse and find agreement with the analytical results.