标题： 带有电荷和磁荷的黑洞在$F(R)$引力中 显示英文标题

标题： Black Holes with Electric and Magnetic Charges in $F(R)$ Gravity

摘要： 我们构建了在$F(R)$引力与电磁场耦合下的球对称和静态解。 这些解包括具有电荷和磁荷的新类型黑洞。 我们表明，高阶导数项使曲率奇点比爱因斯坦广义相对论中的带电黑洞的奇点要柔和得多。 我们计算了所得黑洞的一些热力学量，如熵、霍金辐射和准局部能量，并确认黑洞解满足热力学第一定律。 最后，我们使用奇型模式进行了稳定性分析，并表明存在稳定的黑洞解，奇型模式的径向速度为1，即光速。 显示英文摘要

摘要： We construct spherically symmetric and static solutions in $F(R)$ gravity coupled with electromagnetic fields. The solutions include new types of black holes with electric and magnetic charges. We show that the higher-derivative terms make the curvature singularity much softer than that in the charged black holes in Einstein's general relativity. We calculate some thermodynamical quantities of the obtained black holes like entropy, Hawking radiation, and quasi-local energy and we confirm that the black hole solutions satisfy the first law of thermodynamics. Finally, we study the stability analysis using the odd-type mode and show that there are stable black hole solutions and the radial speed of the parity-odd mode is unit, that is, the speed of light.