BSSN in spherical symmetry

被引:27
作者
Brown, J. David [1 ]
机构
[1] N Carolina State Univ, Dept Phys, Raleigh, NC 27695 USA
关键词
D O I
10.1088/0264-9381/25/20/205004
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The BSSN (Baumgarte-Shapiro-Shibata-Nakamura) formulation of the Einstein evolution equations is written in spherical symmetry. These equations can be used to address a number of technical and conceptual issues in numerical relativity in the context of a single Schwarzschild black hole. One of the benefits of spherical symmetry is that the numerical grid points can be tracked on a Kruskal-Szekeres diagram. Boundary conditions suitable for puncture evolution of a Schwarzschild black hole are presented. Several results are shown for puncture evolution using a fourth-order finite difference implementation of the equations.
引用
收藏
页数:23
相关论文
共 28 条
[1]   Regularization of spherically symmetric evolution codes in numerical relativity [J].
Alcubierre, M ;
González, JA .
COMPUTER PHYSICS COMMUNICATIONS, 2005, 167 (02) :76-84
[2]   Gravitational-wave extraction from an inspiraling configuration of merging black holes [J].
Baker, JG ;
Centrella, J ;
Choi, DI ;
Koppitz, M ;
van Meter, J .
PHYSICAL REVIEW LETTERS, 2006, 96 (11)
[3]   Binary black hole late inspiral: Simulations for gravitational wave observations [J].
Baker, John G. ;
McWilliams, Sean T. ;
van Meter, James R. ;
Centrella, Joan ;
Choi, Dae-Il ;
Kelly, Bernard J. ;
Koppitz, Michael .
PHYSICAL REVIEW D, 2007, 75 (12)
[4]   Numerical integration of Einstein's field equations [J].
Baumgarte, TW ;
Shapiro, SL .
PHYSICAL REVIEW D, 1999, 59 (02)
[5]   Well-posedness of the Baumgarte-Shapiro-Shibata-Nakamura formulation of Einstein's field equations [J].
Beyer, H ;
Sarbach, O .
PHYSICAL REVIEW D, 2004, 70 (10) :104004-1
[6]   Excision without excision [J].
Brown, David ;
Sarbach, Olivier ;
Schnetter, Erik ;
Tiglio, Manuel ;
Diener, Peter ;
Hawke, Ian ;
Pollney, Denis .
PHYSICAL REVIEW D, 2007, 76 (08)
[7]   Puncture evolution of Schwarzschild black holes [J].
Brown, J. David .
PHYSICAL REVIEW D, 2008, 77 (04)
[8]   Conformal invariance and the conformal-traceless decomposition of the gravitational field [J].
Brown, JD .
PHYSICAL REVIEW D, 2005, 71 (10)
[9]  
BROWN JK, IN PRESS
[10]   Calibration of moving puncture simulations [J].
Brugmann, Bernd ;
Gonzalez, Jose A. ;
Hannam, Mark ;
Husa, Sascha ;
Sperhake, Ulrich .
PHYSICAL REVIEW D, 2008, 77 (02)