标题： 高维蒸发量子黑洞 显示英文标题

标题： Quantum Evaporating Black Holes in Higher Dimensions

摘要： 我们从量子力学的角度研究了Schwarzschild黑洞的一个$N + 1$维广义模型。 结果显示，由于黑洞辐射导致的这个高维黑洞的质量损失率与$1 \over r^{N-1}$成正比，其中$r$是径向坐标。 这一事实表明，除了四维情况外，本文提出的量子形式主义与半经典形式主义（使用黑体辐射的Stefan-Boltzmann公式）相比，在质量损失率上给出了不同的结果。 正如之前在四维Schwarzschild度规的研究中所展示的，波函数在此情况下也有非常有趣的特点：由于引力场在奇点处的强量子涨落，它在此处是奇异的，但在时空的其他区域则完全规则。 显示英文摘要

摘要： We study an $N + 1$ dimensional generalization of the Schwarzschild black hole from the quantum mechanical viewpoint. It is shown that the mass loss rate of this higher dimensional black hole due to the black hole radiation is proportional to $1 \over r^{N-1}$ where $r$ is the radial coordinate. This fact implies that except in four dimensions the quantum formalism developed in this letter gives a different result with respect to the mass loss rate from the semiclassical formalism where the Stefan-Bolzmann formula for a blackbody radiation is used. As shown previously in the study of the four dimensional Schwarzschild metric, the wave function in this case has also quite curious features that it is singular owing to strong quantum fluctuation of the gravitational field at the singularity while completely regular in the other regions of the spacetime.