# Overcharging higher-dimensional black holes with point particles

## TL;DR

This paper explores whether higher-dimensional black holes can be overcharged by charged particles, extending previous results and analyzing how the number of dimensions influences the overcharging process.

## Contribution

It generalizes Wald's and Hubeny's results to higher dimensions, showing overcharging is possible for nearly extremal black holes but becomes harder as the number of dimensions increases.

## Key findings

- Overcharging is possible in small parameter regions for nearly extremal black holes.
- The difficulty of overcharging increases with the number of spacetime dimensions.
- Higher dimensions suppress the overcharging process for nearly extremal black holes.

## Abstract

We investigate the possibility of overcharging spherically-symmetric black holes in spacetime dimensions $D > 4$ by the capture of a charged particle. We generalize Wald's classic result that extremal black holes cannot be overcharged. For nearly extremal black holes, we also generalize Hubeny's scenario by showing that overcharging is possible in a small region of parameter space. We check how $D$ affects the overcharging parameter space, and find that overcharging becomes increasingly difficult for nearly-extremal black holes in the large-$D$ limit.