Cosmic Censorship and the Dilaton

TL;DR

This paper explores extremal charged black holes in Einstein-Maxwell-dilaton theory with a cosmological constant, revealing potential violations of cosmic censorship due to the emergence of timelike singularities.

Contribution

It demonstrates that in this theoretical framework, extremal black holes can develop naked singularities, challenging the cosmic censorship conjecture.

Findings

Timelike singularities appear outside event horizons.

Cosmic censorship may be violated in Einstein-Maxwell-dilaton theory.

Solutions are not static, indicating dynamic evolution of black holes.

Abstract

We investigate extremal electrically charged black holes in Einstein-Maxwell-dilaton theory with a cosmological constant inspired by string theory. These solutions are not static, and a timelike singularity eventually appears which is not surrounded by an event horizon. This suggests that cosmic censorship may be violated in this theory.