Weakly magnetized black holes in Einstein-ModMax theory

TL;DR

This paper explores the properties of weakly magnetized black holes within Einstein-ModMax theory, focusing on black hole magnetization and the dynamics of charged particles in external magnetic fields.

Contribution

It extends Wald's magnetization concept to Einstein-ModMax theory and analyzes charged particle motion near black holes in this framework.

Findings

Wald's magnetization is generalized to Einstein-ModMax theory.

External magnetic fields affect charged particle trajectories near black holes.

The study provides insights into black hole behavior in non-linear electrodynamics.

Abstract

Theories of non-linear electrodynamics inherently describe deviations from Maxwell theory in the strong field regime. Among these, ModMax electrodynamics stands out as a unique one-parameter generalization of Maxwell theory that preserves both conformal invariance and electromagnetic duality. In this paper, we investigate the extension of Wald's magnetization within the framework of Einstein-ModMax theory, concentrating on static charged and accelerating black holes. Additionally, we examine the influence of external magnetic fields on the motion of charged test particles in the vicinity of a charged black hole.