Accelerated Black Holes beyond Maxwell's Electrodynamics

TL;DR

This paper constructs and analyzes asymptotically AdS accelerated black holes within ModMax non-linear electrodynamics, exploring their thermodynamics and implications for holography in strong electromagnetic fields.

Contribution

It presents the first example of accelerated black holes coupled to non-linear electrodynamics, specifically ModMax theory, and studies their thermodynamic properties.

Findings

Constructed asymptotically AdS accelerated black holes in ModMax electrodynamics

Analyzed thermodynamics of these black holes

Highlighted implications for holography and radiative spacetimes

Abstract

Theories of non-linear electrodynamics naturally describe deviations from Maxwell's theory in the strong field regime. Among these, of special interest is the recently discovered ModMax electrodynamics, which is a unique 1-parametric generalization of Maxwell's theory that possesses the conformal invariance as well as the electromagnetic duality. In this paper we construct the asymptotically AdS accelerated black holes in this theory and study their thermodynamics - providing thus a first example of accelerated solutions coupled to non-linear electrodynamics. Our study opens a window towards studying radiative spacetimes in non-linear electromagnetic regime as well as raises new challenges for their corresponding holographic interpretation.