Exact asymptotically flat charged hairy black holes with a dilaton potential
Exact asymptotically flat charged hairy black holes with a dilaton potential
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DOI：
10.1007/jhep10(2013)184
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发表时间：
2013-08
影响因子：
5.4
通讯作者：
A. Anabalón;D. Astefanesei;R. Mann
中科院分区：
文献类型：
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作者：
A. Anabalón;D. Astefanesei;R. Mann
在Einstein-Maxwell理论中，我们发现了广泛的一类具有非最小耦合子及其非平凡势的精确四维渐近平坦黑洞解。我们考虑了一些有趣的限制，特别是，一个正规的推广的Reissner-Nordström解决方案，也光滑变形的超对称黑洞。进一步的例子提供了更一般的双光子电位。我们讨论了它的物理性质，并证明了第一定律是满足的。在非极值情况下，正如所料，熵依赖于熵子的渐近值。在极值极限中，熵完全由电荷决定，并且与电子的渐近值无关。吸引子机制可以作为正则解存在性的一个判据。由于有效势和非对称子势之间存在“竞争”，我们也得到了仅开启一个U（1）规范场的正则极值黑洞解。
We find broad classes of exact 4-dimensional asymptotically flat black hole solutions in Einstein-Maxwell theories with a non-minimally coupled dilaton and its nontrivial potential. We consider a few interesting limits, in particular, a regular generalization of the dilatonic Reissner-Nordström solution and, also, smooth deformations of supersymmetric black holes. Further examples are provided for more general dilaton potentials. We discuss the thermodynamical properties and show that the first law is satisfied. In the non-extremal case the entropy depends, as expected, on the asymptotic value of the dilaton. In the extremal limit, the entropy is determined purely in terms of charges and is independent of the asymptotic value of the dilaton. The attractor mechanism can be used as a criterion for the existence of the regular solutions. Since there is a ‘competition’between the effective potential and dilaton potential, we also obtain regular extremal black hole solutions with just one U (1) gauge field turned on.