New aspect of critical nonlinearly charged black hole

TL;DR

This paper investigates the dynamics of a charged particle near critical power Maxwell charged AdS black holes within an extended phase space framework, analyzing effective potential, mass-to-charge ratio, and large charge limits.

Contribution

It introduces analysis of charged particle motion in critical nonlinear charged black hole backgrounds, focusing on effective potential and phase space properties.

Findings

Effective potential behavior analyzed in critical black hole backgrounds

Mass-to-charge ratio examined in large charge limit

Insights into particle dynamics in nonlinear charged black hole spacetimes

Abstract

The motion of a point charged particle moving in the background of the critical power Maxwell charged AdS black holes, in a probe approximation is studied. The extended phase space, where the cosmological constant appears as a pressure, is regarded and the effective potential is investigated. At last, the mass-to-charge ratio and the large q limit are studied.