发表机构
Chongqing University of Technology（重庆理工大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过数值相对论模拟多个黑洞的正面碰撞，发现对称构型（正多边形、正多面体）强烈抑制引力波并消除引力反冲，非对称构型则产生显著辐射。
AI 中文摘要
数值相对论对引力理论和引力波天文学产生了深远影响。在本工作中，我们基于数值相对论框架，使用Baumgarte-Shapiro-Shibata-Nakamura（BSSN）形式，对多个黑洞系统的正面碰撞进行了系统性研究。引力场动力学演化的数值模拟采用AMSS-NCKU代码计算。我们报告了若干对称和非对称构型下黑洞碰撞的数值结果，其中黑洞初始静止，并由Bowen-York型初始数据描述。我们的结果表明，具有完全对称构型的黑洞系统（例如，黑洞位于正多边形或正多面体的顶点）对发射的引力波施加了强约束，且这些对称系统中不会产生引力反冲。对于正多边形构型，辐射由$l=2$，$m=0$模式的加偏振主导。对于正多面体构型，所有$l=2$的四极模式几乎消失，引力波振幅被强烈抑制到$10^{-4}$或以下量级，这与基于四极近似分析的结果一致。仅当遇到非对称构型时，来自$m \ eq 0$模式的引力辐射才变得不可忽略。关键词：数值相对论，黑洞，引力波，N体系统
英文摘要
Numerical relativity has a profound impact on gravitational theory and gravitational wave astronomy. In this work, we present a systematic study of the head-on collisions of multipule black hole systems within the framework of numerical relativity using the Baumgarte-Shapiro-Shibata-Nakamura (BSSN) formulation. The numerical simulations of the dynamical evolution of gravitational fields are computed using the AMSS-NCKU code. We report numerical results for black hole collisions in several symmetric and non-symmetric configurations, in which the black holes are initially at rest and are described by Bowen-York type initial data. Our results suggest that black hole systems with perfectly symmetric configurations (e.g., black holes located at the vertices of a regular polygon or a regular polyhedron) impose strong constraints on the emitted gravitational waves, and no gravitational kick arises in these symmetric systems. For regular polygonal configurations, the radiation is dominated by the plus polarization of the $l=2$, $m=0$ mode. For regular polyhedral configurations, all the quadrupole modes with $l=2$ nearly vanish, and gravitational wave amplitudes are strongly suppressed to the order of $10^{-4}$ or below, which is in accordance with an analysis based on the quadrupole approximation. Gravitational radiations from $m \ne 0$ modes become non-negligible only when non-symmetric configurations are encountered. Keywords: Numerical Relativity, Black Holes, Gravitational Waves, N-Body Systems
Comments18 pages, 5 fgures
