Spinorial Wheeler-DeWitt wave functions inside black hole horizons

被引:2
|
作者
Kan, Nahomi [1 ]
Aoyama, Takuma [2 ]
Shiraishi, Kiyoshi [2 ]
机构
[1] Natl Inst Technol, Gifu Coll, Motosu, Gifu 5010495, Japan
[2] Yamaguchi Univ, Grad Sch Sci & Technol Innovat, Yamaguchi, Yamaguchi 7538512, Japan
关键词
quantum cosmology; black hole interiors; Dirac equation; SQUARE-ROOT; DYNAMICS; GEOMETRY; MODELS; SPACE; FIELD;
D O I
10.1088/1361-6382/ace496
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We revisit the solutions of the Wheeler-DeWitt (WDW) equation inside the horizons of spherical black holes and planar topological black holes in arbitrary dimensions. For these systems, the solutions of the equations are found to have the same form. Therefore, Yeom's Annihilation-to-nothing interpretation can be applied to each case. We have introduced the Dirac-type WDW equations into quantum cosmology in a recent paper, so we also apply our formulation to the quantum theory of the interior of the black hole in order to obtain the solution of the spinorial wave function. The shape of the wave packet of the spinorial WDW wave function indicates that the variation of Yeom's interpretation holds in this scheme.
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页数:11
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