English

# Item

ITEM ACTIONSEXPORT
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.

Item is

### Basic

show hide
Genre: Journal Article

### Files

show Files
hide Files
:
51051.pdf (Publisher version), 2MB
Name:
51051.pdf
Description:
-
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
-
eDoc_access: PUBLIC
-

show

### Creators

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

### Content

show
hide
Free keywords: -
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.

### Details

show
hide
Language(s): eng - English
Dates: 2004
Publication Status: Published in print
Pages: -
Publishing info: -
Rev. Method: -
Identifiers: eDoc: 51051
Degree: -

show

show

show

### Source 1

show
hide
Title: Physical Review D
Source Genre: Journal
Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 69 Sequence Number: 044006 Start / End Page: - Identifier: -