喉道量子化环形AdS黑洞的精确含时态
Exact time-dependent states for throat quantized toroidal AdS black holes
摘要：
利用Louko和Mäkelä为Schwarzschild黑洞开创的喉道量子化框架，研究了任意维具有负宇宙学常数的真空环形黑洞的精确非定态量子态.该系统相当于半线上的谐振子，其中通过施加适当的边界条件来保持幺正性，从而以量子力学的方式解决中心奇点。我们确定了两个合适的家庭的确切的时间相关的波函数与Dirichlet或Neumann边界条件的经典奇异性的位置。我们发现，对于大质量黑洞的高度非定常态，量子涨落在一个族中是不可忽略的，而在另一个族中则被极大地抑制。因此，后者可能提供候选人描述半经典黑洞的动力学。
英文摘要：
We investigate exact non-stationary quantum states of vacuum toroidal black holes with a negative cosmological constant in arbitrary dimensions using the framework of throat quantization pioneered by Louko and Mäkelä for Schwarzschild black holes. The system is equivalent to a harmonic oscillator on the half line, in which the central singularity is resolved quantum mechanically by imposing suitable boundary conditions that preserve unitarity. We identify two suitable families of exact time-dependent wave functions with Dirichlet or Neumann boundary conditions at the location of the classical singularity. We find that for highly non-stationary states of large-mass black holes, quantum fluctuations are not negligible in one family, while they are greatly suppressed in the other. The latter, therefore, may provide candidates for describing the dynamics of semi-classical black holes.
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