论文标题
广告中几乎所有极端黑洞都是奇异的
Almost all extremal black holes in AdS are singular
论文作者
论文摘要
我们研究了一个通用的四维极端黑洞的地平线附近的几何形状。当宇宙常数为负时，我们表明（几乎在所有情况下）潮汐力在越过地平线时发散，并且这种奇异性对于较大的黑洞更强。特别是，这适用于通用的非球形黑洞，例如满足不均匀边界条件的通用黑洞。然而，所有标量曲率不变性仍然有限。此外，我们表明非Xtremal黑洞的潮汐力在极限上有所不同。从全息上看，这种奇异性反映在特定热的异常尺度中，温度。当宇宙常数为正时，类似（尽管较弱）的效果也会存在，而当它消失时不存在。
We investigate the geometry near the horizon of a generic, four-dimensional extremal black hole. When the cosmological constant is negative, we show that (in almost all cases) tidal forces diverge as one crosses the horizon, and this singularity is stronger for larger black holes. In particular, this applies to generic nonspherical black holes, such as those satisfying inhomogeneous boundary conditions. Nevertheless, all scalar curvature invariants remain finite. Moreover, we show that nonextremal black holes have tidal forces that diverge in the extremal limit. Holographically, this singularity is reflected in anomalous scaling of the specific heat with temperature. Similar (albeit weaker) effects are present when the cosmological constant is positive, but not when it vanishes.
