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  Maximal Slicing for Puncture Evolutions of Schwarzschild and Reissner-Nordström Black Holes

Reimann, B., & Bruegmann, B. (2004). Maximal Slicing for Puncture Evolutions of Schwarzschild and Reissner-Nordström Black Holes. Physical Review D, 69: 044006.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-50AE-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-50AF-A
Genre: Journal Article

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 Creators:
Reimann, Bernd1, Author
Bruegmann, Bernd, Author
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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 Abstract: We prove by explicit construction that there exists a maximal slicing of the Schwarzschild spacetime such that the lapse has zero gradient at the puncture. This boundary condition has been observed to hold in numerical evolutions, but in the past it was not clear whether the numerically obtained maximal slices exist analytically. We show that our analytical result agrees with numerical simulation. Given the analytical form for the lapse, we can derive that at late times the value of the lapse at the event horizon approaches the value ${3/16}\sqrt{3} \approx 0.3248$, justifying the numerical estimate of 0.3 that has been used for black hole excision in numerical simulations. We present our results for the non-extremal Reissner-Nordström metric, generalizing previous constructions of maximal slices.

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Language(s): eng - English
 Dates: 2004
 Publication Status: Published in print
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 Identifiers: eDoc: 51051
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 69 Sequence Number: 044006 Start / End Page: - Identifier: -