Canonical Quantization of the Reissner-Nordstr?m Black Hole via Conditional Symmetries

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Melas, Evangelos^1

Technological Educational Institution of Patras, Department of Management, Greece^1

关键词: Black holes;    Canonical quantization;    Classical singularities;    Good correlations;    Quantum levels;    Semiclassical analysis;    Wheeler-De Witt equation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012063/pdf
DOI  :  10.1088/1742-6596/574/1/012063

来源: IOP

【 摘 要 】

We use the conditional symmetry approach to study the r-evolution of Reissner-Nordström black hole both at the classical and quantum level. We Dirac-quantize the Reissner-Nordstrom black hole using the quantum analogues of the classical conditional symmetries, and show that the existence of such symmetries yields solutions to the Wheeler-DeWitt equation which, as a semiclassical analysis shows, exhibit a good correlation with the classical regime. Finally, we use the resulting wave functions to investigate the possibility of removing the classical singularities.