Scalar field collapse with negative cosmological constant

TL;DR

This paper analyzes scalar field collapse in a model with negative cosmological constant, deriving an analytic solution that shows how different parameters lead to black hole or naked singularity formation, challenging cosmic censorship.

Contribution

It provides an analytic solution for scalar field collapse with negative cosmological constant and explores how a single parameter influences the outcome, including naked singularities.

Findings

Collapse can result in black holes or naked singularities.

Naked singularities violate cosmic censorship.

Outcome depends on a single free parameter.

Abstract

The formation of black holes or naked singularities is studied in a model in which a homogeneous time-dependent scalar field with an exponential potential couples to four dimensional gravity with negative cosmological constant. An analytic solution is derived and its consequences are discussed. The model depends only on one free parameter, which determines the equation of state and decides the fate of the spacetime. Without fine tuning the value of this parameter the collapse ends in a generic formation of a black hole or a naked singularity. The latter case violates the cosmic censorship conjecture.