Quantum Corrected Schwarzschild Black Hole: Inner Horizon Thermodynamic Behaviors

TL;DR

This paper investigates the thermodynamic properties of quantum-corrected Schwarzschild black holes, focusing on the inner (Cauchy) horizon's behavior, stability, and potential string theory interpretations.

Contribution

It introduces a quantum-modified black hole metric and analyzes the thermodynamics of the Cauchy horizon, exploring stability and possible string mode representations.

Findings

Thermodynamic products suggest possible string mode interpretations.

Cauchy horizon stability is analyzed and characterized.

Quantum corrections influence horizon thermodynamics significantly.

Abstract

The thermodynamic properties of Cauchy horizon is a matter of interest. Event horizon and Cauchy horizon together can enlighten us about the micro-states of a black hole. In addition, if we consider a black hole metric modified with quantum terms, which is not forcing the geodesics to focus at a singularity, the study of horizons becomes much more interesting. The spacelike behavior inside the Cauchy horizon has a deep impact on the related thermodynamics. We analyze different thermodynamic product to check whether a right left string theory mode's addition type representation for the concerned thermodynamic parameters is possible or not. Stability of Cauchy horizon is studied.