# $AdS_{4}$ dyonic black holes in gravity's rainbow

## TL;DR

This paper explores how gravity's rainbow influences the thermodynamics of dyonic black holes in AdS4, revealing phase structure reductions and effects on stability and phase transitions.

## Contribution

It introduces a detailed analysis of thermodynamical behavior of dyonic black holes within gravity's rainbow, highlighting the impact of rainbow functions on phase structure and stability.

## Key findings

- Single phase in super magnetized, high-pressure scenarios
- Rainbow functions affect thermodynamical quantities and phase transitions
- Conditions for stable, uniform black hole structures identified

## Abstract

In this paper, we investigate thermodynamical structure of dyonic black holes in the presence of gravity's rainbow. We confirm that for super magnetized and highly pressurized scenarios, the number of black holes' phases is reduced to a single phase. In addition, due to specific coupling of rainbow functions, it is possible to track the effects of temporal and spatial parts of our setup on thermodynamical quantities/behaviors including equilibrium point, existence of multiple phases, possible phase transitions and conditions for having a uniform stable structure.