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arXiv 1310.1602gr-qc
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自旋动态黑洞的引力辐射和angular momentum通量

Gravitational radiation and angular momentum flux from a spinning dynamical black hole

Chih-Hung Wang, Yu-Huei Wu

摘要:

利用一个四维渐近展开方法研究了自旋动态黑洞附近非线性项的次阶效应。然后利用耦合Newman-Penrose方程的渐近展开和相容性得到了角动量通量和能流公式。在构造了相容常数旋量的参考系后,导出了与黑洞面积增长有关的能量动量通量。直接从自旋动力视界的通量公式出发,我们发现引力能流为正值的物理合理条件是切变随时间单调减小。

英文摘要:

A four-dimensional asymptotic expansion scheme is used to study the next order effects of the nonlinearity near a spinning dynamical black hole. The angular momentum flux and energy flux formula are then obtained by asymptotic expansion and the compatibility of the coupling Newman-Penrose equations. After constructing the reference frame in terms of the compatible constant spinors, the energy-momentum flux is derived and it is related to the black hole area growth. Directly from the flux formula of the spinning dynamical horizon, we find that the physically reasonable condition on the positivity of the gravitational energy flux yields that the shear will monotonically decrease with time.

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