论文标题
热一个点功能，大$ D $和黑洞的内部几何形状
Thermal one point functions, large $d$ and interior geometry of black holes
论文作者
论文摘要
我们在$ ads_ {d+1} $黑洞中研究大量标量的热量点功能。这些是通过将标量与Weyl张量平方或高斯 - 骨网术语耦合来诱导的。格林伯格（Grinberg）和马尔达克纳（Maldacena）认为，一个点功能由Weyl Tensor指数提出的一个点在较大的标量质量的极限下，并且包含地平线后面黑洞几何形状的信息。我们观察到，对于前面提到的任何一个耦合，一个点的函数在此限制中的表现相同。我们表明，在适当的大$ d $限制中，可以准确获得$ ads_ {d+1} $中带电的黑洞的一个点功能。这些黑洞通常包含内部地平线。我们表明，一个点函数会指出，并包含外层到内层之间的适当时间以及从内部地平线到奇异性的适当长度之间的信息。我们还表明，高斯 - 骨网耦合在$ ads_ {d+1} $中诱导了一个点功能，其双曲线水平的黑色孔的表现如格林伯格·马尔达辛纳所预期的那样。最后，我们研究了标量的立方耦合引起的旋转BTZ黑洞的背景中的一个点功能。
We study thermal one point functions of massive scalars in $AdS_{d+1}$ black holes. These are induced by coupling the scalar to either the Weyl tensor squared or the Gauss-Bonnet term. Grinberg and Maldacena argued that the one point functions sourced by the Weyl tensor exponentiate in the limit of large scalar masses and they contain information of the black hole geometry behind the horizon. We observe that the one point functions behave identically in this limit for either of the couplings mentioned earlier. We show that in an appropriate large $d$ limit, the one point function for the charged black hole in $AdS_{d+1}$ can be obtained exactly. These black holes in general contain an inner horizon. We show that the one point function exponentiates and contains the information of both the proper time between the outer horizon to the inner horizon as well as the proper length from the inner horizon to the singularity. We also show that Gauss-Bonnet coupling induced one point functions in $AdS_{d+1}$ black holes with hyperbolic horizons behave as anticipated by Grinberg-Maldacena. Finally, we study the one point functions in the background of rotating BTZ black holes induced by the cubic coupling of scalars.
