English

de Broglie-Bohm interpretation for wave function of Reissner-Nordstrom-de Sitter black hole

General Relativity and Quantum Cosmology 2019-08-17 v1

Abstract

We study the canonical quantum theory of the Reissner-Nordstrom-de Sitter black hole(RNdS). We obtain an exact general solution of the Wheeler-DeWitt equation for the spherically symmetric geometry with electro-magnetic field. We investigate the wave function form a viewpoint of the de Broglie-Bohm interpretation. The de Broglie-Bohm interpretation introduces a rigid trajectory on the minisuperspace without assuming an outside observer or causing collapse of the wave function. In our analysis, we obtain the boundary condition for the wave function which corresponds to the classical RNdS black hole and describe the quantum fluctuations near the horizons quantitatively.

Keywords

Cite

@article{arxiv.gr-qc/9810039,
  title  = {de Broglie-Bohm interpretation for wave function of Reissner-Nordstrom-de Sitter black hole},
  author = {Masakatsu Kenmoku and Hiroto Kubotani and Eiichi Takasugi and Yuki Yamazaki},
  journal= {arXiv preprint arXiv:gr-qc/9810039},
  year   = {2019}
}

Comments

ReVTeX,12 pages,3 EPS figures