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arXiv 1306.4522hep-th
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带电旋转黑洞的熵积规则

Entropy-Product Rules for Charged Rotating Black Holes

M. Cvetic, H. Lu, C. N. Pope

摘要:

研究了带电旋转黑洞所有视界熵积的普适性质。我们认为,通过检查进一步明确的例子,当旋转和/或收费的最大数量被打开,熵积表示的角动量和/或收费,这是量化的。(In在规范超引力的情况下,熵积也取决于规范-耦合常数。)在二阶导数引力中,电荷的“最大数目”的概念可以被定义为足够多的非零电荷,使得在适当的电荷专门化下产生Reissner-Nordstrom黑洞。(The在$D\ge 6$中的带电AdS黑洞中,定义可以稍微放宽。)在高阶导数引力中,我们使用Weyl-Maxwell引力中的带电旋转黑洞作为例子,其中熵积仍然是量子化的,但它仅用角动量表示,与电荷无关。这表明,在高导数引力中最大电荷的概念需要进一步理解。

英文摘要:

We study the universal nature of the product of the entropies of all horizons of charged rotating black holes. We argue, by examining further explicit examples, that when the maximum number of rotations and/or charges are turned on, the entropy product is expressed in terms of angular momentum and/or charges only, which are quantized. (In the case of gauged supergravities, the entropy product depends on the gauge-coupling constant also.) In two-derivative gravities, the notion of the "maximum number" of charges can be defined as being sufficiently many non-zero charges that the Reissner-Nordstrom black hole arises under an appropriate specialisation of the charges. (The definition can be relaxed somewhat in charged AdS black holes in $D\ge 6$.) In higher-derivative gravity, we use the charged rotating black hole in Weyl-Maxwell gravity as an example for which the entropy product is still quantized, but it is expressed in terms of the angular momentum only, with no dependence on the charge. This suggests that the notion of maximum charges in higher-derivative gravities requires further understanding.

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