Shadow thermodynamics of non-linear charged Anti-de Sitter black holes

TL;DR

This paper explores how the shadow radius of non-linear charged AdS black holes relates to their thermodynamic phase transitions, revealing that shadow measurements can serve as probes for black hole thermodynamics.

Contribution

It introduces the use of shadow radius as a probe for thermodynamic phase transitions in non-linear charged AdS black holes within Einstein-power-Yang-Mills gravity.

Findings

Shadow radius exhibits non-monotonic behavior with horizon radius and temperature.

Phase transition temperature from shadow radius perspective is higher than from horizon radius.

Non-linear YM charge parameter influences shadow radius and thermal profiles.

Abstract

Non-linear interaction between the electromagnetic fields (EMF) are occurred when vacuum polarization in quantum electrodynamics (QED) happens. The field of non-linear electrodynamics which may be resulting from this interaction could have important effects on black hole physics. In this work, we investigate the relationship between the observable quantity, the shadow radius and the first-order phase transition for the non-linear charged AdS black hole in the frame of the Einstein-power-Yang-Mills (EPYM) gravity. Through the analysis, we find with a certain condition there exist the non-monotonic behaviors between the shadow radius, the horizon radius, and temperature (or pressure). And from the viewpoint of the shadow radius, the phase transition temperature is higher than that from the viewpoint of the horizon radius with the same condition. These indicate that the shadow radius can be regarded a probe to reveal the thermodynamic phase transition information of black holes. When the system is undergoing the phase transition in two cases of the different non-linear YM charge parameter values: $\gamma=1,~1.5$, the thermal profiles of the coexistent big and small black hole phases with the temperature are presented. Furthermore, the effects of non-linear YM charge parameter on the shadow radius and the thermal profile are also investigated.