具有多个视界的爱因斯坦 - 欧拉 - 海森堡黑洞的标量化
Scalarization of Einstein-Euler-Heisenberg black hole with multiple horizons
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中文总结 AI 辅助
研究具有多个视界的爱因斯坦 - 欧拉 - 海森堡黑洞的标量化，通过引入二次标量耦合，构建标量化黑洞分支，分析质量正性条件得主标量电荷上限，经时域稳定性分析发现稳定可行的标量化黑洞存在于特定电荷区域。
中文摘要 AI 辅助
在爱因斯坦 - 欧拉 - 海森堡（EEH）标量理论中，通过引入与麦克斯韦项的二次标量耦合，研究了具有多个视界的爱因斯坦 - 欧拉 - 海森堡（EEH）黑洞（EEHBH）的标量化。对于质量\(M = 1\)和欧拉 - 海森堡参数\(\mu = 0.03\)，带磁荷的EEHBH有四个视界族（低、冷、负和热），在磁荷\(q\in[0.95,1.0065]\)的窄带中出现三重视界。然后针对磁荷\(q = 0.5\)、\(1\)、\(2\)分析了低、冷和高视界周围的起始标量化，每种情况都意味着标量化黑洞的无限分支。构建了标量化黑洞的三个基本分支。从其质量的正性条件，找到了标量化低和冷视界的主标量电荷\(q_s\)的上限。这些界限确定了霍金温度和熵的允许区域。此外，进行了时域稳定性分析，发现不稳定性仅在小标量电荷区域出现。因此，对于低和冷视界解，在主标量电荷的中间窗口以及热视界解的下限存在稳定且物理上可行的标量化黑洞。
英文摘要
Scalarizations of the Einstein-Euler-Heisenberg (EEH) black hole (EEHBH) with multiple horizons are investigated in the EEH-scalar theory by introducing a quadratic scalar coupling to the Maxwell term. For mass $M=1$ and Euler-Heisenberg parameter $μ=0.03$, the magnetically charged EEHBH admits four horizon families (low, cold, negative, and hot), with triple horizons appearing in the narrow band of magnetic charge $q\in[0.95,1.0065]$. The onset scalarization around the low, cold, and high horizons is then analyzed for the magnetic charge $q=0.5,\,1,\,2$, implying infinite branches of scalarized black holes for each case. We construct the three fundamental branches of scalarized black holes. From the positivity condition of their mass, we find the upper bounds on primary scalar charges $q_{s}$ for scalarized low and cold horizons. These bounds determine the allowable regions for the Hawking temperature and entropy. Furthermore, we perform a time-domain stability analysis and find that the instabilities arise only at small scalar charge regime. Therefore, stable and physically viable scalarized black holes exist in an intermediate window of the primary scalar charge for low and cold horizon solutions and a lower bound for hot horizon solution.
