Late Time Analysis for Maximal Slicing of Reissner-Nordström Puncture Evolutions

Reimann, Bernd; Bruegmann, Bernd

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Late Time Analysis for Maximal Slicing of Reissner-Nordström Puncture Evolutions

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Reimann, Bernd
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Reimann, B., & Bruegmann, B. (2004). Late Time Analysis for Maximal Slicing of Reissner-Nordström Puncture Evolutions. Physical Review D, 69(12): 124009.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-50E5-C

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.