Nonperturbative Isentropic Processes in AdS Black Holes with Nonlinear Electrodynamics

TL;DR

This paper investigates quantum tunnelling in AdS black holes with nonlinear electrodynamics, revealing size and nonlinearity effects on tunnelling probability and discussing implications for entropy bounds and information paradox.

Contribution

It introduces a nonperturbative analysis of isentropic processes in AdS black holes with nonlinear electrodynamics, highlighting quantum tunnelling effects and their dependence on model parameters.

Findings

Tunnelling probability decreases with increased nonlinearity.

Smaller black holes have higher tunnelling probabilities.

Results suggest potential universality across black hole spacetimes.

Abstract

We study the isentropic processes in a class of Anti de Sitter black holes coupled to non-linear electrodynamics. We demonstrate that such processes are classically forbidden but can proceed via quantum mechanical tunnelling. We compute the Euclidean action associated with the tunnelling process and analyze its dependence on the black hole charge, horizon radius, and the non-linear electrodynamics parameters characterizing each model. We find that the tunnelling probability is increasingly suppressed as the strength of the non-linearity is enhanced. We further find that smaller black holes exhibit a significantly higher tunnelling probability compared to larger ones, indicating a departure from classical behaviour. We conjecture that this behaviour may be universal across a broad class of black hole spacetimes. We discuss the implications of our results for entropy bounds and their potential relevance to the black hole information loss paradox.