Cosmic Censorship and Weak Gravity Conjecture in the Einstein-Maxwell-dilaton theory

TL;DR

This paper investigates cosmic censorship in Einstein-Maxwell-dilaton theory, showing that while extremal black holes can be destroyed at the probe limit, backreaction preserves censorship, and it explores links to the Hoop and Weak Gravity Conjectures.

Contribution

It demonstrates the conditions under which black holes can be destroyed and connects cosmic censorship with fundamental conjectures in gravity.

Findings

Extremal charged dilaton black holes can be destroyed at probe limit.

Backreaction prevents destruction, preserving cosmic censorship.

Links are established between Hoop Conjecture and Weak Gravity Conjecture.

Abstract

We explore the cosmic censorship in the Einstein-Maxwell-dilaton theory following Wald's thought experiment to destroy a black hole by throwing in a test particle. We discover that at probe limit the extremal charged dilaton black hole could be destroyed by a test particle with specific energy. Nevertheless the censorship is well protected if backreaction or self-force is included. At the end, we discuss an interesting connection between Hoop Conjecture and Weak Gravity Conjecture.