Gauge-invariant treatment of gravitational radiation near the source: Analysis and numerical simulations.

Gauge-invariant treatment of gravitational radiation near the source: Analysis and numerical simulations.
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源附近引力辐射的规范不变处理:分析和数值模拟。

DOI:
10.1103/physrevd.42.2585
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发表时间:
1990
期刊:
Physical review. D, Particles and fields
影响因子:
--
通讯作者:
C. Evans
C. Evans
中科院分区:
--
文献类型:
--
作者:
A. Abrahams;C. Evans

文献摘要

被引文献

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我们讨论了一种基于使用多极矩展开式将紧凑源周围重力辐射场的数值解与线性解析解相匹配的过程。规范不变扰动理论用于生成每个球谐函数 l、m 阶的偶奇偶校验匹配方程。该技术根据隔离源周围的弱场环形区域中的数值演化场来确定在局部波区中有效的渐近波形。使用经历非径向脉动的相对论恒星的完全广义相对论模拟来证明波形与近区和残余规范效应的分离。
We discuss a procedure based on the use of multipole-moment expansions for matching numerical solutions for the gravitational-radiation field around a compact source to linear analytic solutions. Gauge-invariant perturbation theory is used to generate even-and odd-parity matching equations for each spherical harmonic order l, m. This technique determines asymptotic wave forms, valid in the local wave zone, from the numerically evolved fields in a weak-field annular region surrounding the isolated source. The separation of the wave form from near-zone and residual gauge effects is demonstrated using fully general-relativistic simulations of relativistic stars undergoing nonradial pulsation.