Analytic Solutions of The Wheeler-DeWitt Equation in Spherically Symmetric Space-time
Masakatsu Kenmoku, Hiroto Kubotani, Eiichi Takasugi, Yuki Yamazaki
TL;DR
This paper derives analytic solutions to the Wheeler-DeWitt equation for spherically symmetric spacetime with electromagnetic and cosmological effects, advancing quantum black hole models.
Contribution
It provides the first explicit analytic solutions to the Wheeler-DeWitt equation in Reissner-Nordstrom-de Sitter spacetime, addressing quantum black hole constraints.
Findings
Analytic solutions satisfying energy and momentum constraints.
Quantum black hole solutions in Reissner-Nordstrom-de Sitter geometry.
Enhanced understanding of quantum effects in spherically symmetric spacetime.
Abstract
We study the quantum theory of the Einstein-Maxwell action with a cosmological term in the spherically symmetric space-time, and explored quantum black hole solutions in Reissner-Nordstrom-de Sitter geometry. We succeeded to obtain analytic solutions to satisfy both the energy and momentum constraints.
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