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arXiv 0811.4020gr-qc
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带电小黑洞的广义相对论运动方程

Equations of Motion in General Relativity of a Small Charged Black Hole

T. Futamase, P. A. Hogan, Y. Itoh

摘要:

我们提出了一个模型的细节,在广义相对论的一个小的带电黑洞在外部引力和电磁场的运动。我们的模型的重要性在于,我们可以从爱因斯坦-麦克斯韦真空场方程导出黑洞的运动方程,而不会遇到无穷大。我们的结果所依据的关键假设是:(a)黑洞是孤立的,(b)在黑洞附近,由其运动产生的辐射波阵面是光滑变形的球体。出现的运动方程符合原始的德威特和贝弗姆运动方程的模式(在它们“重新规范化”之后)。我们的计算是在一个坐标系中进行的,在这个坐标系中,波前的零超曲面历史可以用一种简单的方法来指定,结果是我们得到了一个新的显式形式,特别是对于我们的模型,著名的“尾项”的运动方程。

英文摘要:

We present the details of a model in general relativity of a small charged black hole moving in an external gravitational and electromagnetic field. The importance of our model lies in the fact that we can derive the equations of motion of the black hole from the Einstein-Maxwell vacuum field equations without encountering infinities. The key assumptions which we base our results upon are that (a) the black hole is isolated and (b) near the black hole the wave fronts of the radiation generated by its motion are smoothly deformed spheres. The equations of motion which emerge fit the pattern of the original DeWitt and Brehme equations of motion (after they "renormalise"). Our calculations are carried out in a coordinate system in which the null hypersurface histories of the wave fronts can be specified in a simple way, with the result that we obtain a new explicit form, particular to our model, for the well-known "tail term" in the equations of motion.

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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