Black Hole with Quantum Potential

TL;DR

This paper explores quantum corrections to black hole physics using a quantum Raychaudhuri equation, revealing modifications to singularity structure and Hawking radiation, and predicting stable quantum black hole remnants.

Contribution

It introduces a quantum Raychaudhuri equation-based approach to modify Schwarzschild black hole metrics, addressing singularity and evaporation issues.

Findings

Quantum corrections prevent total black hole evaporation.

Existence of stable quantum black hole remnants.

Singularity becomes timelike, potentially resolving information loss.

Abstract

In this work, we investigate black hole (BH) physics in the context of quantum corrections. These quantum corrections were introduced recently by replacing classical geodesics with quantal (Bohmian) trajectories and hence form a quantum Raychaudhuri equation (QRE). From the QRE, we derive a modified Schwarzschild metric, and use that metric to investigate BH singularity and thermodynamics. We find that these quantum corrections change the picture of Hawking radiation greatly when the size of BH approaches the Planck scale. They prevent the BH from total evaporation, predicting the existence of a quantum BH remnant, which may introduce a possible resolution for the catastrophic behavior of Hawking radiation as the BH mass approaches zero. Those corrections also turn the spacelike singularity of the black hole to be timelike, and hence this may ameliorate the information loss problem.