Stability of magnetic black holes in general nonlinear electrodynamics
Stability of magnetic black holes in general nonlinear electrodynamics
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DOI：
10.1103/physrevd.101.124026
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发表时间：
2020-04
影响因子：
5
通讯作者：
Kimihiro Nomura;Daisuke Yoshida;J. Soda
中科院分区：
文献类型：
--
作者：
Kimihiro Nomura;Daisuke Yoshida;J. Soda
研究了一类一般非线性电动力学中磁性黑洞的微扰稳定性，其中拉格朗日量由电磁场强度$F_{\mu\nu}$及其Hodge对偶$\widetilde{F}_{\mu\nu}$的一般函数给出。我们导出了黑洞稳定的充分条件。我们将稳定条件应用于Bardeen规则黑洞、Euler-Heisenberg理论中的黑洞和Born-Infeld理论中的黑洞。得到了巴丁黑洞稳定的一个充分条件，该条件限制了$F_{\mu\nu}\widetilde{F}^{\mu\nu}$拉格朗日量的依赖性。我们还证明了欧拉-海森堡理论中的黑洞在足够小的磁荷下是稳定的。此外，我们证明了黑洞在Born-Infeld电动力学中的稳定性，即使包括$F_{\mu\nu}\widetilde{F}^{\mu\nu}$依赖。
We study the perturbative stability of magnetic black holes in a general class of nonlinear electrodynamics, where the Lagrangian is given by a general function of the field strength of electromagnetic field $F_{\mu\nu}$ and its Hodge dual $\widetilde{F}_{\mu\nu}$. We derive sufficient conditions for the stability of the black holes. We apply the stability conditions to Bardeen's regular black holes, black holes in Euler-Heisenberg theory, and black holes in Born-Infeld theory. As a result, we obtain a sufficient condition for the stability of Bardeen's black holes, which restricts $F_{\mu\nu}\widetilde{F}^{\mu\nu}$ dependence of the Lagrangian. We also show that black holes in Euler-Heisenberg theory are stable for a sufficiently small magnetic charge. Moreover, we prove the stability of black holes in the Born-Infeld electrodynamics even when including $F_{\mu\nu}\widetilde{F}^{\mu\nu}$ dependence.