Topological Mod(A)Max AdS black holes

TL;DR

This paper introduces new topological AdS black hole solutions using nonlinear ModMax and ModAMax electrodynamics, analyzing their thermodynamics, stability, Joule-Thomson expansion, and heat engine efficiency, highlighting the influence of nonlinear parameters and topology.

Contribution

It presents novel topological black hole solutions in AdS spacetime with nonlinear electrodynamics, exploring their thermodynamic properties and efficiencies in a comprehensive framework.

Findings

ModMax and ModAMax parameters significantly affect black hole thermodynamics.

Topology influences the stability and thermal behavior of the black holes.

Parameters can enhance or suppress heat engine efficiency.

Abstract

In this work, we construct new classes of topological black hole solutions in anti-de Sitter (AdS) spacetime using a novel model of nonlinear electrodynamics called Modification Maxwell (ModMax) and Modification phantom or Modification anti-Maxwell (ModAMax). We then evaluate the thermodynamic quantities and verify the first law of thermodynamics. Our study examines how the parameters of the ModMax and ModAMax fields, as well as the topological constant, affect the black hole solutions, thermodynamic quantities, and local and global thermal stabilities. Furthermore, within the framework of extended phase space thermodynamics, we analyze the Joule-Thomson expansion process and determine the inversion curves. This analysis reveals that the ModMax and ModAMax parameters significantly alter the cooling and heating behavior of these AdS black holes, depending on their topology. Finally, by treating these topological Mod(A)Max AdS black holes as heat engines, we assess their efficiencies, demonstrating that the parameters of nonlinear electrodynamics and horizon topology play crucial roles in enhancing or suppressing the system's thermodynamic performance.