超相对论性黑洞碰撞中散射阈值和引力辐射的半解析估计
Semianalytical estimates of scattering thresholds and gravitational radiation in ultrarelativistic black hole encounters
摘要:
黑洞的超相对论碰撞是研究广义相对论非线性的理想实验。在本文中,我们使用半分析工具,以更好地了解这些碰撞的性质和发射的引力辐射。我们解释了许多功能的能量谱提取的数值相对论模拟使用两个互补的半解析计算。在第一个计算中,我们估计辐射的“零频率限制”分析的碰撞两个点粒子有限的碰撞参量。在第二个计算中,我们用一个点粒子以任意的能量和碰撞参量进入Schwarzschild黑洞,并探讨辐射的多极结构,特别注意近临界区。我们还使用测地线类比提供定性估计的依赖性散射阈值的黑洞自旋和时空的维数。
英文摘要:
Ultrarelativistic collisions of black holes are ideal gedanken experiments to study the nonlinearities of general relativity. In this paper we use semianalytical tools to better understand the nature of these collisions and the emitted gravitational radiation. We explain many features of the energy spectra extracted from numerical relativity simulations using two complementary semianalytical calculations. In the first calculation we estimate the radiation by a "zero-frequency limit" analysis of the collision of two point particles with finite impact parameter. In the second calculation we replace one of the black holes by a point particle plunging with arbitrary energy and impact parameter into a Schwarzschild black hole, and we explore the multipolar structure of the radiation paying particular attention to the near-critical regime. We also use a geodesic analogy to provide qualitative estimates of the dependence of the scattering threshold on the black hole spin and on the dimensionality of the spacetime.
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