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arXiv 0811.2778gr-qc
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准黑洞的质量公式

The mass formula for quasi-black holes

José P. S. Lemos, Oleg B. Zaslavskii

摘要:

一个准黑洞,无论是非极端的还是极端的,都可以广义地定义为当物体的边界接近物体的准视界时的极限构型。我们考虑静态准黑洞的质量贡献和质量公式。当达到极限构形时,分析包括对表面应力的仔细检查.结果表明,准黑洞和纯黑洞的质量公式之间存在严格的对应关系。尽管在这两种情况下公式的推导和意义不同,但这种完美的平行性仍然存在。对于极值准黑洞,有限表面应力对总质量的贡献为零。这导致了广义相对论中的一种非常特殊的亚伯拉罕-洛伦兹电子,其中总质量具有纯电磁起源,尽管存在裸应力。

英文摘要:

A quasi-black hole, either non-extremal or extremal, can be broadly defined as the limiting configuration of a body when its boundary approaches the body's quasihorizon. We consider the mass contributions and the mass formula for a static quasi-black hole. The analysis involves careful scrutiny of the surface stresses when the limiting configuration is reached. It is shown that there exists a strict correspondence between the mass formulas for quasi-black holes and pure black holes. This perfect parallelism exists in spite of the difference in derivation and meaning of the formulas in both cases. For extremal quasi-black holes the finite surface stresses give zero contribution to the total mass. This leads to a very special version of Abraham-Lorentz electron in general relativity in which the total mass has pure electromagnetic origin in spite of the presence of bare stresses.

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