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arXiv 0906.4557gr-qcastro-ph.COhep-th
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变化的精细结构“常数”与带电黑洞

Varying fine structure "constant" and charged black holes

Jacob D. Bekenstein, Marcelo Schiffer

摘要:

关于精细结构常数$α$在时空中变化的推测由来已久。在四维广义相对论和各向同性坐标系下,根据动力学$α$(Bekenstein 1982)的框架,导出了带电球形黑洞的解.这个解决方案与以前已知的单参数扩展的电子黑洞家庭。变化$α$带电黑洞的显著特性包括:遵循“无毛”原理,不存在Reissner-Nordstrom黑洞的内(柯西)视界,不存在精确极值黑洞,以及在相关度规的解析扩展中出现裸奇点。几乎极端带电(磁)黑洞的外部结构简单,这使得它们对外加磁(电)场的影响是透明的。我们重新推导了修正后的黑洞的热力学函数;否则很难计算的电势是由一个捷径。我们证实了宇宙膨胀后$α$的可变性不会威胁到广义第二定律

英文摘要:

Speculation that the fine-structure constant $α$ varies in spacetime has a long history. We derive, in 4-D general relativity and in isotropic coordinates, the solution for a charged spherical black hole according to the framework for dynamical $α$ (Bekenstein 1982). This solution coincides with a previously known one-parameter extension of the dilatonic black hole family. Among the notable properties of varying-$α$ charged black holes are adherence to a ``no hair'' principle, the absence of the inner (Cauchy) horizon of the Reissner-Nordstrom black holes, the nonexistence of precisely extremal black holes, and the appearance of naked singularities in an analytic extension of the relevant metric. The exteriors of almost extremal electrically (magnetically) charged black holes have simple structures which makes their influence on applied magnetic (electric) fields transparent. We re-derive the thermodynamic functions of the modified black holes; the otherwise difficult calculation of the electric potential is done by a shortcut. We confirm that variability of $α$ in the wake of expansion of the universe does not threaten the generalized second law

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