论文标题
出生的黑洞中不稳定性的最终状态
Final state of instabilities in Born-Infeld black holes
论文作者
论文摘要
我们研究了出生于爱因斯坦的侵袭性 - 赛车场理论中两种线性不稳定性，并表明在特定的频率范围内，小型出生式（BI）黑洞遭受了超级不稳定性的影响。 BI耦合参数越大，不稳定性的生长速度越慢。据预测，一个小的BI黑洞会腐烂到一个小毛的黑洞中，该黑洞的带有带电的标量冷凝水漂浮在地平线附近。我们从数字上表明，毛茸茸的黑洞和BI黑洞之间存在相变。公制解决方案显示了$ t <t_ {c} $的毛茸茸的黑洞和$ t> t_ {c} $的BI黑洞。此外，BI黑洞将遭受速旋质量的影响，从而导致近地平线标量冷凝不稳定性，这与平面毛茸茸的黑洞有关。我们表明，双耦合参数与小毛茸茸的黑洞框架中的临界温度有直接关系。对于较大的双耦合参数导致较小的临界温度的平面黑洞而言，这是不正确的。最后，结果表明，一个小毛的黑洞在临界温度下是稳定的，因此可以将其视为超级不稳定性的终点。
We study two types of linear instabilities in Einstein-Born-Infeld-scalar field theory and show that small Born-Infeld (BI) black holes suffer from superradiant instability within a particular range of frequencies; the larger the BI coupling parameter, the slower the growth rate of the instability. It is predicted that a small BI black hole decays into a small hairy black hole that has a charged scalar condensate floating near the horizon. We numerically show that there is a phase transition between hairy and BI black holes. The metric solution shows the existence of a hairy black hole for $T<T_{c}$ and a BI black hole for $T>T_{c}$. In addition, the BI black hole will suffer from tachyonic mass, resulting in a near horizon scalar condensation instability, which is related to a planar hairy black hole. We show that the BI coupling parameter has a direct relation to the critical temperature in the small hairy black hole framework. This is not true for planar hairy black holes where a larger BI coupling parameter leads to a smaller critical temperature. Finally, it is shown that a small hairy black hole is stable at the critical temperature so it can be considered as the end point of superradiant instability.
