New approach to calculating the news

被引:33
作者
Bishop, NT [1 ]
Deshingkar, SS [1 ]
机构
[1] Univ S Africa, Dept Math Appl Math & Astron, ZA-0003 Unisa, South Africa
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevD.68.024031
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We consider the problem of finding the gravitational radiation output, or news, within the context of a numerical simulation of a spacetime by means of the null-cone, or characteristic, approach to numerical relativity. We develop a method for computing the news that uses an explicit coordinate transformation to a coordinate system that satisfies the Bondi conditions. The method has been implemented computationally. We present results of applying the method to certain test problems, demonstrating second order convergence of the news to the analytic value.
引用
收藏
页数:6
相关论文
共 17 条
[1]   Cauchy-characteristic extraction in numerical relativity [J].
Bishop, NT ;
Gomez, R ;
Lehner, L ;
Winicour, J .
PHYSICAL REVIEW D, 1996, 54 (10) :6153-6165
[2]   High-powered gravitational news [J].
Bishop, NT ;
Gomez, R ;
Lehner, L ;
Maharaj, M ;
Winicour, J .
PHYSICAL REVIEW D, 1997, 56 (10) :6298-6309
[3]   NUMERICAL RELATIVITY ON A TRANSPUTER ARRAY [J].
BISHOP, NT ;
CLARKE, CJS ;
DINVERNO, RA .
CLASSICAL AND QUANTUM GRAVITY, 1990, 7 (02) :L23-L27
[4]   NUMERICAL RELATIVITY - COMBINING THE CAUCHY AND CHARACTERISTIC INITIAL-VALUE PROBLEMS [J].
BISHOP, NT .
CLASSICAL AND QUANTUM GRAVITY, 1993, 10 (02) :333-341
[5]  
BISHOP NT, GRQC0301060
[6]   GRAVITATIONAL WAVES IN GENERAL RELATIVITY .7. WAVES FROM AXI-SYMMETRIC ISOLATED SYSTEMS [J].
BONDI, H ;
VANDERBU.MG ;
METZNER, AWK .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1962, 269 (1336) :21-&
[7]   Three-dimensional simulations of distorted black holes: Comparison with axisymmetric results [J].
Camarda, K ;
Seidel, E .
PHYSICAL REVIEW D, 1999, 59 (06)
[8]   The eth formalism in numerical relativity [J].
Gomez, R ;
Lehner, L ;
Papadopoulos, P ;
Winicour, J .
CLASSICAL AND QUANTUM GRAVITY, 1997, 14 (04) :977-990
[9]  
Gómez R, 2001, PHYS REV D, V64, DOI [10.1103/PhysRevD.64.024010, 10.1103/PhysRevD.64.024007]
[10]   NULL CONE COMPUTATION OF GRAVITATIONAL-RADIATION [J].
ISAACSON, RA ;
WELLING, JS ;
WINICOUR, J .
JOURNAL OF MATHEMATICAL PHYSICS, 1983, 24 (07) :1824-1834