Apparent horizon finder for a special family of spacetimes in 3D numerical relativity

被引：46

作者：

Shibata, M

机构：

[1] Department of Earth and Space Science, Graduate School of Science, Osaka University, Toyonaka

来源：

PHYSICAL REVIEW D | 1997年 / 55卷 / 04期

关键词：

D O I：

10.1103/PhysRevD.55.2002

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We present a method to find the apparent horizon (AH) on a special family of three-dimensional (3D) spacelike hypersurfaces which has pi-rotation symmetry around the z axis as well as the reflection one with respect to the equatorial plane. In a nonaxisymmetric 3D hypersurface, the AH, if it exists, is determined by solving a 2D elliptic-type equation. In the present method, we solve the elliptic-type equation as a boundary value problem. To test this method, we apply it to a variety of nonaxisymmetric 3D hypersurfaces which can be obtained by solving the constraint equations in general relativity. We find that the present method works well in all cases.

引用

页码：2002 / 2013

页数：12

共 24 条

[1] VACUUM INITIAL DATA, SINGULARITIES, AND COSMIC CENSORSHIP [J].

ABRAHAMS, AM ;

HEIDERICH, KR ;

SHAPIRO, SL ;

TEUKOLSKY, SA .

PHYSICAL REVIEW D, 1992, 46 (06) :2452-2463

[2] COLLISIONS OF BOOSTED BLACK-HOLES - PERTURBATION-THEORY PREDICTION OF GRAVITATIONAL-RADIATION [J].

ABRAHAMS, AM ;

COOK, GB .

PHYSICAL REVIEW D, 1994, 50 (04) :R2364-R2367

[3] LIGO - THE LASER-INTERFEROMETER-GRAVITATIONAL-WAVE-OBSERVATORY [J].

ABRAMOVICI, A ;

ALTHOUSE, WE ;

DREVER, RWP ;

GURSEL, Y ;

KAWAMURA, S ;

RAAB, FJ ;

SHOEMAKER, D ;

SIEVERS, L ;

SPERO, RE ;

THORNE, KS ;

VOGT, RE ;

WEISS, R ;

WHITCOMB, SE ;

ZUCKER, ME .

SCIENCE, 1992, 256 (5055) :325-333

[4] THE CLOSED TRAPPED REGION AND THE APPARENT HORIZON OF 2 SCHWARZSCHILD BLACK-HOLES [J].

BISHOP, NT .

GENERAL RELATIVITY AND GRAVITATION, 1982, 14 (09) :717-723

[5] THE VIRGO PROJECT - A WIDE BAND ANTENNA FOR GRAVITATIONAL-WAVE DETECTION [J].

BRADASCHIA, C ;

DELFABBRO, R ;

DIVIRGILIO, A ;

GIAZOTTO, A ;

KAUTZKY, H ;

MONTELATICI, V ;

PASSUELLO, D ;

BRILLET, A ;

CREGUT, O ;

HELLO, P ;

MAN, CN ;

MANH, PT ;

MARRAUD, A ;

SHOEMAKER, D ;

VINET, JY ;

BARONE, F ;

DIFIORE, L ;

MILANO, L ;

RUSSO, G ;

AGUIRREGABIRIA, JM ;

BEL, H ;

DURUISSEAU, JP ;

LEDENMAT, G ;

TOURRENC, P ;

CAPOZZI, M ;

LONGO, M ;

LOPS, M ;

PINTO, I ;

ROTOLI, G ;

DAMOUR, T ;

BONAZZOLA, S ;

MARCK, JA ;

GOURGHOULON, Y ;

HOLLOWAY, LE ;

FULIGNI, F ;

IAFOLLA, V ;

NATALE, G .

NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 1990, 289 (03) :518-525

[6] INTERACTION ENERGY IN GEOMETROSTATICS [J].

BRILL, DR ;

LINDQUIST, RW .

PHYSICAL REVIEW, 1963, 131 (01) :471-&

[7]

CADEZ A, 1974, ANN PHYS-NEW YORK, V83, P449, DOI 10.1016/0003-4916(74)90206-1

[8] 3-DIMENSIONAL INITIAL DATA FOR THE COLLISION OF 2 BLACK-HOLES [J].

COOK, GB ;

CHOPTUIK, MW ;

DUBAL, MR ;

KLASKY, S ;

MATZNER, RA ;

OLIVEIRA, SR .

PHYSICAL REVIEW D, 1993, 47 (04) :1471-1490

[9] APPARENT HORIZONS FOR BOOSTED OR SPINNING BLACK-HOLES [J].

COOK, GB ;

YORK, JW .

PHYSICAL REVIEW D, 1990, 41 (04) :1077-1085

[10] 3-DIMENSIONAL INITIAL DATA FOR THE COLLISION OF 2 BLACK-HOLES .2. QUASI-CIRCULAR ORBITS FOR EQUAL-MASS BLACK-HOLES [J].

COOK, GB .

PHYSICAL REVIEW D, 1994, 50 (08) :5025-5032

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