Affine Quantization of the Interior Schwarzschild Black Hole

Abstract

In this paper, we investigate the Hamiltonian formulation of a spherically symmetric spacetime that corresponds to the interior of a Schwarzschild black hole. The resulting phase space involves two independent dynamical variables along with their conjugate momenta. We quantize the associated minisuperspace using the affine quantization method, which is particularly suited for systems with positive-definite configuration variables. We then explore whether the quantum effects encoded in this wave function can lead to the avoidance of classical singularities.

14 pages, 2 figures, one table, to appear in IJMPD

References in corpus (6)

• Black hole evaporation: A paradigm
• Loop quantum black hole
• Quantization Methods: A Guide for Physicists and Analysts
• Loop quantization of the Schwarzschild interior revisited
• Quantization of the interior Schwarzschild black hole
• Two-oscillator Kantowski-Sachs model of the Schwarzschild black hole interior

Cited by in corpus (2)

• A two-mode model for black hole evaporation and information flow
• Affine quantization of the dynamical Reissner--Nordström region