Analytic solutions of the Wheeler-DeWitt equation in spherically symmetric space-time

被引：12
|
作者：
Kenmoku, M [1 ]
Kubotani, H
Takasugi, E
Yamazaki, Y
机构：
[1] Nara Womens Univ, Dept Phys, Nara 6308506, Japan
[2] Kanagawa Univ, Fac Engn, Yokohama, Kanagawa 221, Japan
[3] Osaka Univ, Dept Phys, Osaka 560, Japan
[4] Nara Womens Univ, Hrad Sch Human Culture, Nara 6308506, Japan
来源：
PHYSICAL REVIEW D | 1999年 / 59卷 / 12期
关键词：
D O I：
10.1103/PhysRevD.59.124004
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The canonical quantum theory of Einstein gravity with a cosmological constant in spherically symmetric space-time is analyzed. A mass operator can be introduced as a dynamical variable due to spherically symmetry. The operator ordering in the Hamiltonian, the momentum, and the mass operator is properly fixed so that they form a closed algebra. In this scheme, we obtain the analytic solution which simultaneously satisfies the Wheeler-DeWitt equation, the momentum constraint, and the mass constraint. [S0556-2821 (99)00312-4].
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页数：6
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