# 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.

## Key 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.