Improved numerical stability of stationary black hole evolution calculations

被引：74

作者：

Yo, HJ

Baumgarte, TW

Shapiro, SL

机构：

[1] Univ Illinois, Dept Phys, Urbana, IL 61801 USA

[2] Acad Sinica, Inst Astron & Astrophys, Taipei 115, Taiwan

[3] Bowdoin Coll, Dept Phys & Astron, Brunswick, ME 04011 USA

[4] Univ Illinois, Dept Astron, Urbana, IL 61801 USA

[5] Univ Illinois, Natl Ctr Supercomp Applicat, Urbana, IL 61801 USA

来源：

PHYSICAL REVIEW D | 2002年 / 66卷 / 08期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevD.66.084026

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We experiment with modifications of the BSSN form of the Einstein field equations (a reformulation of the ADM equations) and demonstrate how these modifications affect the stability of numerical black hole evolution calculations. We use excision to evolve both nonrotating and rotating Kerr-Schild black holes in octant and equatorial symmetry, and without any symmetry assumptions, and obtain accurate and stable simulations for specific angular momenta J/M of up to about 0.9M.

引用

页数：15

共 50 条

[1] Simple excision of a black hole in 3+1 numerical relativity -: art. no. 104006 [J].

Alcubierre, M ;

Brügmann, B .

PHYSICAL REVIEW D, 2001, 63 (10)

[2] Towards an understanding of the stability properties of the 3+1 evolution equations in general relativity -: art. no. 124011 [J].

Alcubierre, M ;

Allen, G ;

Brügmann, B ;

Seidel, E ;

Suen, WM .

PHYSICAL REVIEW D, 2000, 62 (12) :1-15

[3] Gravitational collapse of gravitational waves in 3D numerical relativity -: art. no. 041501 [J].

Alcubierre, M ;

Allen, G ;

Brügmann, B ;

Lanfermann, G ;

Seidel, E ;

Suen, WM ;

Tobias, M .

PHYSICAL REVIEW D, 2000, 61 (04)

[4] Towards a stable numerical evolution of strongly gravitating systems in general relativity:: The conformal treatments -: art. no. 044034 [J].

Alcubierre, M ;

Brügmann, B ;

Dramlitsch, T ;

Font, JA ;

Papadopoulos, P ;

Seidel, E ;

Stergioulas, N ;

Takahashi, R .

PHYSICAL REVIEW D, 2000, 62 (04) :1-16

[5] Fixing Einstein's equations [J].

Anderson, A ;

York, JW .

PHYSICAL REVIEW LETTERS, 1999, 82 (22) :4384-4387

[6] HORIZON BOUNDARY-CONDITION FOR BLACK-HOLE SPACETIMES [J].

ANNINOS, P ;

DAUES, G ;

MASSO, J ;

SEIDEL, E ;

SUEN, WM .

PHYSICAL REVIEW D, 1995, 51 (10) :5562-5578

[7] Robust evolution system for numerical relativity -: art. no. 104014 [J].

Arbona, A ;

Bona, C ;

Massó, J ;

Stela, J .

PHYSICAL REVIEW D, 1999, 60 (10)

[8]

Arnowitt R. L., 1962, GRAVITATION INTRO CU

[9] GENERAL RELATIVISTIC AXISYMMETRIC ROTATING SYSTEMS - COORDINATES AND EQUATIONS [J].

BARDEEN, JM ;

PIRAN, T .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1983, 96 (04) :205-250

[10] Implementing an apparent-horizon finder in three dimensions [J].

Baumgarte, TW ;

Cook, GB ;

Scheel, MA ;

Shapiro, SL ;

Teukolsky, SA .

PHYSICAL REVIEW D, 1996, 54 (08) :4849-4857

← 1 2 3 4 5 →