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arXiv 0709.4457gr-qc
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量子化场对静态球对称黑洞时空几何的影响

Effects of quantized fields on the spacetime geometries of static spherically symmetric black holes

Paul R. Anderson, Mathew Binkley, Hector Calderon, William A. Hiscock, Emil Mottola, Ruslan Vaulin

摘要:

静态黑洞时空中Hartle-Hawking态量子化场的应力-能量的解析近似在许多重要情况下预言了黑洞的事件视界上的发散。如果这种发散是真的,那么它将极大地改变事件视界附近的时空几何,从而可能阻止黑洞的存在。这些类型的影响的三个调查的结果。第一个涉及一个新的解析近似共形不变场Reissner-Nordstrom时空是有限的地平线上。第二部分研究了Schwarzschild-de Sitter黑洞中无质量标量场的应力能量。第三部分研究了零温黑洞几何中无质量标量场的应力-能量关系,这些应力-能量关系可以作为黑洞事件视界附近半经典反反应方程的解。

英文摘要:

Analytic approximations for the stress-energy of quantized fields in the Hartle-Hawking state in static black hole spacetimes predict divergences on the event horizon of the black hole for a number of important cases. Such divergences, if real, could substantially alter the spacetime geometry near the event horizon, possibly preventing the black hole from existing. The results of three investigations of these types of effects are presented. The first involves a new analytic approximation for conformally invariant fields in Reissner-Nordstrom spacetimes which is finite on the horizon. The second focuses on the stress-energy of massless scalar fields in Schwarzschild-de Sitter black holes. The third focuses on the stress-energy of massless scalar fields in zero temperature black hole geometries that could be solutions to the semiclassical backreaction equations near the event horizon of the black hole.

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