标题： 2+1维量子黑洞的有效度量描述 显示英文标题

标题： Effective Metric Description of 2+1 Dimensional Quantum Black Holes

摘要： 我们开发了一种对2+1维黑洞的有效度量描述，该描述描述了与经典Bañados-Teitelboim-Zanelli (BTZ)黑洞的偏差。后者是一个具有恒定负曲率的经典2+1维旋转黑洞。有效度量通过施加黑洞对称性和渐近经典行为来约束。变形度量以一个物理量为参数，我们选择该物理量为物理距离。后者可以在三个主要感兴趣区域求解，即视界、原点和空间无穷远处。在视界处物理量的有限性，如里奇标量和克里斯托费尔标量，导致了对视界周围度量物理参数的普遍约束。这使我们能够进一步根据有效度量的物理参数推导出修正后的霍金温度的一般形式。假设该方法可以推广到黑洞内部，我们进一步发展了靠近原点的有效度量描述。为了说明该方法，我们展示了如何将一种称为quBTZ黑洞的量子BTZ特定模型中编码的信息重新表述为有效度量系数。 显示英文摘要

摘要： We develop an effective metric description of 2+1 dimensional black holes describing deviations from the classical Ba\~nados-Teitelboim-Zanelli (BTZ) black hole. The latter is a classical 2+1 dimensional rotating black hole with constant negative curvature. The effective metric is constrained by imposing the black hole symmetries and asymptotic classical behavior. The deformed metric is parametrized in terms of a physical quantity that we choose to be a physical distance. The latter can be solved for in three main regions of interest, the one around the horizon, origin, and spatial infinity. The finiteness of physical quantities at the horizon, such as the Ricci and Kretschmann scalars, leads to universal constraints on the physical parameters of the metric around the horizon. This allows us to further derive the general form of the corrected Hawking temperature in terms of the physical parameters of the effective metric. Assuming that the approach can be generalized to the interior of the black hole, we further develop an effective metric description near the origin. To illustrate the approach, we show how to recast the information encoded in a specific model of quantum BTZ known as quBTZ black hole in terms of the effective metric coefficients.