特征演化与匹配

IF 26.3 2区 物理与天体物理 Q1 PHYSICS, PARTICLES & FIELDS
Jeffrey Winicour
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引用次数: 140

摘要

本文综述了基于特征初值问题的广义相对论数值演化码的发展。特征演化的进展可以追溯到一维可行性研究的早期阶段,到精确模拟相对论恒星振荡和引力坍缩的二维轴对称代码,再到目前提供二元黑洞时空碎片的三维代码。柯西码现在已经成功地在人工构建的外边界内模拟了二进制黑洞问题的所有方面。特征演化的一个主要应用是将这种模拟扩展到零无穷远,在零无穷远处,可以明确地计算二元激励和合并的波形。这已经通过柯西特征提取实现,其中特征演化的数据由人工外边界内提取世界管上的柯西数据提供。特征进化的最终应用是通过构造柯西特征匹配的全局解来消除这个外部边界的作用。讨论了这方面的进展。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Characteristic Evolution and Matching

Characteristic Evolution and Matching

I review the development of numerical evolution codes for general relativity based upon the characteristic initial-value problem. Progress in characteristic evolution is traced from the early stage of 1D feasibility studies to 2D-axisymmetric codes that accurately simulate the oscillations and gravitational collapse of relativistic stars and to current 3D codes that provide pieces of a binary black-hole spacetime. Cauchy codes have now been successful at simulating all aspects of the binary black-hole problem inside an artificially constructed outer boundary. A prime application of characteristic evolution is to extend such simulations to null infinity where the waveform from the binary inspiral and merger can be unambiguously computed. This has now been accomplished by Cauchy-characteristic extraction, where data for the characteristic evolution is supplied by Cauchy data on an extraction worldtube inside the artificial outer boundary. The ultimate application of characteristic evolution is to eliminate the role of this outer boundary by constructing a global solution via Cauchy-characteristic matching. Progress in this direction is discussed.

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来源期刊
Living Reviews in Relativity
Living Reviews in Relativity 物理-物理:粒子与场物理
CiteScore
69.90
自引率
0.70%
发文量
0
审稿时长
20 weeks
期刊介绍: Living Reviews in Relativity is a peer-reviewed, platinum open-access journal that publishes reviews of research across all areas of relativity. Directed towards the scientific community at or above the graduate-student level, articles are solicited from leading authorities and provide critical assessments of current research. They offer annotated insights into key literature and describe available resources, maintaining an up-to-date suite of high-quality reviews, thus embodying the "living" aspect of the journal's title. Serving as a valuable tool for the scientific community, Living Reviews in Relativity is often the first stop for researchers seeking information on current work in relativity. Written by experts, the reviews cite, explain, and assess the most relevant resources in a given field, evaluating existing work and suggesting areas for further research. Attracting readers from the entire relativity community, the journal is useful for graduate students conducting literature surveys, researchers seeking the latest results in unfamiliar fields, and lecturers in need of information and visual materials for presentations at all levels.
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