论文标题

估计二进制黑洞合并在Stu超级合并的最终旋转

Estimating the Final Spin of Binary Black Holes Merger in STU Supergravity

论文作者

Li, Shou-Long, Tan, Wen-Di, Wu, Puxun, Yu, Hongwei

论文摘要

在本文中,我们采用了所谓的Buonanno-Kidder-Lehner(BKL)配方,以估计Stu Supergravity中旋转的二进制黑洞合并的最终旋转。根据BKL食谱,最终旋转可以看作是单个旋转的总和以及二进制系统的轨道角动量,可以将其近似为在最终黑洞周围最内向稳定圆形轨道上绕的测试粒子的角动量。与以前的作品不同,我们考虑了二进制系统的轨道角动量对最终旋转的贡献,要求测试粒子在超级实力的拉格朗日中保留缩放对称性。我们发现两种情况之间有一些微妙的差异,与是否考虑了对称性。在平等的初始自旋构型中,当初始黑洞是非旋转的时,合并的最终自旋总是大于在不施加对称性的情况下,尽管一般行为相似。差异首先增加,然后随着初始质量比接近统一性而减小。此外,由于初始旋转超过阈值,在不考虑缩放对称性的情况下,最终旋转始终比阈值小。随着相等的初始质量限制,差异不断减小。所有这些功能都存在于具有不同电荷配置的二进制Stu黑洞的合并中。我们还研究了不同的电荷配置和不同初始旋转配置之间的最终旋转差异。

In this paper, we adopt the so-called Buonanno-Kidder-Lehner (BKL) recipe to estimate the final spin of a rotating binary black hole merger in STU supergravity. According to the BKL recipe, the final spin can be viewed as the sum of the individual spins plus the orbital angular momentum of the binary system which could be approximated as the angular momentum of a test particle orbiting at the innermost stable circular orbit around the final black hole. Unlike previous works, we consider the contribution of the orbital angular momentum of the binary system to the final spin by requiring the test particle to preserve the scaling symmetry in the Lagrangian of supergravity. We find some subtle differences between two cases corresponding to whether the symmetry is taken into account or not. In the equal initial spin configuration, when the initial black holes are non-spinning, the final spin of the merger is always larger than that in the case in which the symmetry is not imposed although the general behaviors are similar. The difference increases firstly and then decreases as the initial mass ratio approaches unity. Besides, as the initial spins exceed a threshold, the final spin is always smaller than that in the case where the scaling symmetry is not considered. The difference decreases constantly as the equal initial mass limit is approached. All these features exist in the merger of a binary STU black hole with different charge configurations. We also study the final spin's difference between different charge configurations and different initial spin configurations.

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