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arXiv 1201.6392gr-qc
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双星系统中的引力能量-动量流

Gravitational energy-momentum flow in binary systems

J. W. Maluf, S. C. Ulhoa, J. F. da Rocha-Neto

摘要:

在广义相对论的遥平行等价理论下,研究了两个黑洞在圆轨道上的引力能动量分布。这种场的配置是很重要的,因为引力波预计将在双黑洞的螺旋和合并的最后阶段发射。我们解决了爱因斯坦场方程的近似解,描述了两个非旋转的黑洞,在$xy$平面上相互环绕,获得时空的总能量,并验证了引力结合能是负的。我们表明,只要黑洞之间的距离随着时间的推移而减小,就会发出引力辐射。如果两个黑洞在相互旋转,那么在文献中已经发现,在合并前的螺旋上升过程中,它们会以正弦曲线上下波动。对这一现象的理解需要理解二元黑洞时空中的引力能动量流。对于含时度规张量的一般双黑洞系统,引力动量的非零性可以解释自旋黑洞的摆动。

英文摘要:

We investigate the gravitational energy-momentum distribution in the space-time of two black holes in circular orbit, in the context of the teleparallel equivalent of general relativity. This field configuration is important because gravitational waves are expected to be emitted in the final stages of inspiral and merger of binary black holes. We address an approximate solution of Einstein's field equations that describes two non-spinning black holes that circle each other in the $xy$ plane, obtain the total energy of the space-time and verify that the gravitational binding energy is negative. We show that gravitational radiation is emitted as long as the separation between the holes decreases in time. If the black holes are spinning and circle each other, it has been found in the literature that, during the pre-merger inspiral, they bob up and down sinusoidally. The understanding of this phenomenon requires the understanding of the gravitational energy-momentum flow in the space-time of binary black holes. For the time dependent metric tensor of a general binary black hole system, the non-vanishing of the gravitational momentum may explain the bobbing of spinning black holes.

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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