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

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

2004-01-23

arxiv.org/abs/gr-qc/0401098v2

Phys.Rev.D69:124009,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, 4 figures, changes in Sec. IV B, as published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.69.124009

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.

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