A hyperbolic slicing condition adapted to Killing fields and densitized lapses

被引：10

作者：

Alcubierre, M ^{[1
]}

Corichi, A ^{[1
]}

González, JA ^{[1
]}

Núñez, D ^{[1
]}

Salgado, M ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Mexico City 04510, DF, Mexico

来源：

CLASSICAL AND QUANTUM GRAVITY | 2003年 / 20卷 / 18期

关键词：

D O I：

10.1088/0264-9381/20/18/308

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study the properties of a modified version of the Bona-Masso family of hyperbolic slicing conditions. This modified slicing condition has two very important features: in the first place, it guarantees that if a spacetime is static or stationary, and one starts the evolution in a coordinate system in which the metric coefficients are already time independent, then they will remain time independent during the subsequent evolution, i.e. the lapse will not evolve and will therefore not drive the time lines away from the Killing direction. Second, the modified condition is naturally adapted to the use of a densitized lapse as a fundamental variable, which in turn makes it a good candidate for a dynamic slicing condition that can be used in conjunction with some recently proposed hyperbolic reformulations of the Einstein evolution equations.

引用

页码：3951 / 3968

页数：18

共 34 条

[1]

Abrahams A, 1996, CR ACAD SCI II B, V323, P835

[2] Geometrical hyperbolic systems for general relativity and gauge theories [J].

Abrahams, A ;

Anderson, A ;

Choquet-Bruhat, Y ;

York, JW .

CLASSICAL AND QUANTUM GRAVITY, 1997, 14 (1A) :A9-A22

[3] Hyperbolic slicings of spacetime: singularity avoidance and gauge shocks [J].

Alcubierre, M .

CLASSICAL AND QUANTUM GRAVITY, 2003, 20 (04) :607-623

[4] Hyperbolicity of the Kidder-Scheel-Teukolsky formulation of Einstein's equations coupled to a modified Bona-Masso slicing condition -: art. no. 104021 [J].

Alcubierre, M ;

Corichi, A ;

González, JA ;

Núñez, D ;

Salgado, M .

PHYSICAL REVIEW D, 2003, 67 (10)

[5] Black hole excision for dynamic black holes -: art. no. 061501 [J].

Alcubierre, M ;

Brügmann, B ;

Pollney, D ;

Seidel, E ;

Takahashi, R .

PHYSICAL REVIEW D, 2001, 64 (06)

[6] 3D grazing collision of two black holes -: art. no. 271103 [J].

Alcubierre, M ;

Benger, W ;

Brügmann, B ;

Lanfermann, G ;

Nerger, L ;

Seidel, E ;

Takahashi, R .

PHYSICAL REVIEW LETTERS, 2001, 87 (27) :271103-271103

[7] 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)

[8] Appearance of coordinate shocks in hyperbolic formalisms of general relativity [J].

Alcubierre, M .

PHYSICAL REVIEW D, 1997, 55 (10) :5981-5991

[9] Conformal hyperbolic formulation of the Einstein equations -: art. no. 064017 [J].

Alcubierre, M ;

Brügmann, B ;

Miller, M ;

Suen, WM .

PHYSICAL REVIEW D, 1999, 60 (06)

[10]

ALCUBIERRE M, 2002, PHYS REV D, V67

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