Spectroscopy of quantum-corrected Schwarzschild black hole

Abstract

The quantization of black hole parameters is a long-standing topic in physics. Adiabatic invariance, periodicity of outgoing waves, quantum tunneling, and quasi-normal modes are the typical tools via which the area and the entropy of a black hole are quantized. In this paper, the quantum spectra of area and entropy of quantum-corrected Schwarzschild black hole are investigated. The deformation in the space–time of Schwarzschild black hole was perused by Kazakov and Solodukhin. Here the deformed Schwarzschild metric is taken into account, and the effect of the space–time modification on the minimal area and entropy increment for the Schwarzschild black hole is scrutinized, utilizing two different procedure: Jiang-Han's method of the adiabatic invariant integral and Zeng et al.'s approach of the periodic property of outgoing waves. The analyses of this paper draw the conclusion that the quantum correction to the space–time does not alter the quantum characteristics of the Schwarzschild black hole.