QUANTUM FLUCTUATIONS OF BLACK-HOLE GEOMETRY

被引:19
作者
NAKAMURA, K
KONNO, S
OSHIRO, Y
TOMIMATSU, A
机构
来源
PROGRESS OF THEORETICAL PHYSICS | 1993年 / 90卷 / 04期
关键词
D O I
10.1143/PTP.90.861
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
By using the minisuperspace model for the interior metric of static black holes, we solve the Wheeler-DeWitt equation to study quantum mechanics of the horizon geometry. Our basic idea is to introduce the gravitational mass and the expansions of null rays as quantum operators. Then, the exact wave function is found as a mass eigenstate, and the radius of the apparent horizon is quantum-mechanically defined. In the evolution of the metric variables, the wave function changes from a WKB solution giving the classical trajectories to a tunneling solution. By virtue of the quantum fluctuations of the metric evolution beyond the WKB approximation, we can observe a static black hole state with the apparent horizon separating from the event horizon.
引用
收藏
页码:861 / 870
页数:10
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