# Overcharging higher curvature black holes

## TL;DR

This paper investigates whether extremal and near-extremal black holes in Einstein-Gauss-Bonnet gravity can be overcharged to form naked singularities, extending previous results from general relativity and supporting cosmic censorship.

## Contribution

It demonstrates that overcharging black holes in Einstein-Gauss-Bonnet gravity does not lead to naked singularities, confirming the robustness of cosmic censorship in higher curvature theories.

## Key findings

- Overcharging does not produce naked singularities in Einstein-Gauss-Bonnet gravity.
- Results extend cosmic censorship validity beyond general relativity.
- Supports the universality of cosmic censorship in higher curvature gravity.

## Abstract

We examine the problem of overcharging extremal and near-extremal black hole solutions of Einstein-Gauss-Bonnet gravity in any dimension, generalizing the result in general relativity. We show that as in the case of general relativity, it is not possible to create a naked singularity by overcharging an extremal black hole in Einstein-Gauss-Bonnet gravity using a charged test particle. Our result suggests that the validity of the cosmic censorship hypothesis transcends beyond general relativity to well motivated higher curvature gravity.