The $D$-dimensional charged AdS black holes solutions in polytropic dark energy from Barrow entropy

TL;DR

This paper explores the thermodynamics and stability of charged AdS black holes in higher dimensions with Barrow entropy, focusing on polytropic and Chaplygin gas models, and analyzes their physical properties and topological features.

Contribution

It introduces a detailed polytropic model for AdS black holes with Barrow entropy in higher dimensions and examines their thermodynamic stability and topological characteristics.

Findings

Thermodynamic properties depend on the dimension and specific gas models.

Stability analysis reveals conditions for stable black hole configurations.

Topological features vary with the spacetime dimension and entropy modifications.

Abstract

This paper mainly aims to solve the Anti deSitter Black Holes (AdS BH) under the Barrow entropy under polytropic gas fluid, especially the Chaplygin Gas. First, we develop this last polytropic model in detail to then obtain the possible solutions and thermodynamic conditions on the Energy-Momentum and the Barrow Entropy for spacetimes of spatial dimension $D>3$. Then, we focus on thermidynamic solutions and the different impacts on the Barrow entropy of the black hole, the temperature profile, the mass and the various physical quantities involved. Afterwards, we focus on the specific cases of the solutions of dimensions $D=4$ and $5$ in order to concretely test the models, especially from the point of view of the thermodynamic topology. Finally, we generalize everything by elaborating and testing the stability of the models to arrive at the thermal geometry of the AdS BH.