论文标题
凯奇（Cauchy）地平线的稳定性在加速黑洞空间
Stability of the Cauchy horizon in accelerating black-hole spacetimes
论文作者
论文摘要
时空的扩展性和对库奇层以外的爱因斯坦场方程的弱解的存在，是检查一般相对性限制的关键成分。强大的宇宙审查制度通过要求在凯奇（Cauchy Horizon）之外的时空延伸性，作为引力的防火墙。对于渐近平坦的空间，蓝光不稳定性的优势和随后在库奇地平线上的质量流动奇异性的形成已经证实了猜想。由$ c- $公制描述的加速黑洞是没有宇宙常数的田间方程的精确解决方案，其具有与De Sitter SpaceTime的宇宙学范围相似的加速度范围。在这里，通过考虑线性标量场的扰动，我们为带电加速的黑洞的凯奇（Cauchy）地平线的稳定性提供了数值证据。特别是，我们表明，凯奇（Cauchy Horizons）在加速带电黑洞中的稳定性与准模式有关，我们讨论了在凯奇（Cauchy Horizon）上存在弱解决场方程的规律性要求，并表明强有力的宇宙审查可能会在极端范围内侵犯。
The extendibility of spacetime and the existence of weak solutions to the Einstein field equations beyond Cauchy horizons, is a crucial ingredient to examine the limits of General Relativity. Strong Cosmic Censorship serves as a firewall for gravitation by demanding inextendibility of spacetime beyond the Cauchy horizon. For asymptotically flat spacetimes, the predominance of the blueshift instability and the subsequent formation of a mass-inflation singularity at the Cauchy horizon have, so far, substantiated the conjecture. Accelerating black holes, described by the $C-$metric, are exact solutions of the field equations without a cosmological constant, which possess an acceleration horizon with similar causal properties to the cosmological horizon of de Sitter spacetime. Here, by considering linear scalar field perturbations, we provide numerical evidence for the stability of the Cauchy horizon of charged accelerating black holes. In particular, we show that the stability of Cauchy horizons in accelerating charged black holes is connected to quasinormal modes, we discuss the regularity requirement for which weak solutions to the field equations exist at the Cauchy horizon and show that Strong Cosmic Censorship may be violated near extremality.
