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BLACK HOLES HAVE LONG HAIR*

机译:黑洞长发*

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摘要

The influential "no-hair" conjecture suggests that black holes may be characterized by only three conserved parameters: mass, charge and angular momentum. However, counterexamples in which the conjecture fails are well-known in the literature. In this essay we study such Einstein-matter theories in which hairy black-hole configurations have been discovered. In particular, we analyze the spatial behavior of the matter fields which reside outside the black-hole horizon. We prove a theorem which reveals the central role played by the null circular geodesic (the "photonsphere") of such hairy black holes. According to this theorem, the asymptotic decline of the hair outside the horizon cannot start before the black-hole photonsphere is crossed. We therefore conclude that hairy black holes must have long hair which extends beyond the photonsphere.
机译:颇具影响力的“无毛”猜想表明,黑洞的特征可能仅在于三个保守的参数:质量,电荷和角动量。然而,猜想失败的反例在文献中是众所周知的。在本文中,我们研究了这样的爱因斯坦物质理论,其中发现了毛状黑洞结构。特别是,我们分析了位于黑洞视界之外的物质场的空间行为。我们证明了一个定理,该定理揭示了这种毛状黑洞的零圆测地线(“光子圈”)所起的核心作用。根据该定理,在越过黑洞光子层之前,地平线外的头发就不会逐渐消失。因此,我们得出结论,多毛的黑洞必须具有超过光子层的长发。

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