# Weak cosmic censorship in Born-Infeld electrodynamics and bound on charge-to-mass ratio

## TL;DR

This paper explores how Born-Infeld electrodynamics affects cosmic censorship in anti-de Sitter space, showing that scalar field charge influences censorship violations and establishing bounds on charge-to-mass ratios.

## Contribution

It demonstrates that the Born-Infeld parameter impacts the charge needed to preserve cosmic censorship and provides bounds on charge-to-mass ratios in this context.

## Key findings

- Counterexamples to cosmic censorship are constructed in Einstein-Born-Infeld theory.
- Higher scalar field charge can restore cosmic censorship.
- Lower bounds on charge-to-mass ratio depend on the Born-Infeld parameter.

## Abstract

We construct a class of counterexamples to cosmic censorship in four dimensional Einstein-Born-Infeld theory with asymptotically anti-de Sitter boundary conditions, and investigate the effect of the Born-Infeld parameter $b$ in comparison with the counterpart of Einstein-Maxwell theory. When a charged massive scalar field is included into the action, we find that this class of counterexamples to cosmic censorship would be removed if the charge of scalar fields is above the minimum value of charge $q_{min}$. In particular, the minimum value of charge required to preserve cosmic censorship increases with the increasing of Born-Infeld parameter. Meanwhile, we also show the lower bounds on charge-to-mass ratio with the different values of Born-Infeld parameter.