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arXiv 2112.13360gr-qchep-thmath-phmath.MP
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Bowen-York形式中远离双星源的自旋和动量爱因斯坦约束的微扰解

Perturbative solution of the Einstein Constraints with Spin and Momentum Far Away From a Binary Source in the Bowen-York formalism

Emel Altas, Emine Ertugrul, Bayram Tekin

AI总结:

本研究在Bowen-York形式下,对近距离反平行自旋和动量的双黑洞系统,给出了爱因斯坦约束方程的微扰解析解,并计算了视界位置与形状,该解适用于远离黑洞的区域,可为数值计算提供参考。

摘要:

我们在Bowen-York形式下,研究了近距离分离、具有反平行自旋和反平行线性动量的两个相互作用黑洞的真空爱因斯坦方程的动量约束和哈密顿约束。我们利用微扰理论给出了一个解析解。我们还计算了视界的位置和形状,这些通常依赖于所有参数、角度以及黑洞之间的分离距离。我们的解仅适用于远离黑洞的距离。为了获得更接近黑洞的更多见解,必须进行微扰理论中的更高阶计算,这是一个相当繁琐的过程。但这里提出的解对数值计算可能有一定用处,因为后者应与我们所描述问题的结果相匹配。

英文摘要:

We study the momentum and Hamiltonian constraints of vacuum Einstein equations, within the Bowen-York formalism, for two interacting black holes in close separation, with anti-parallel spins and anti-parallel linear momenta. We give an analytical solution using perturbation theory. We also compute the location and the shape of the apparent horizon which generically depend on all the parameters, angles and the separation between the black holes. Our solution only works for distances far away from the black holes. To gain more insight close to the black holes, one has to go to the higher orders in perturbation theory, which is a rather cumbersome process. But the solution presented here can be of some use for numerical computations as the latter should match our result for the described problem.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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