Gravitational Collapse of Massless Scalar Field with Negative Cosmological Constant in (2+1) Dimensions

TL;DR

This paper presents solutions to Einstein's equations with a massless scalar field in 2+1 dimensions and negative cosmological constant, demonstrating gravitational collapse leading to black hole formation.

Contribution

It introduces new solutions describing gravitational collapse in 2+1 dimensions with negative cosmological constant, showing black hole formation.

Findings

Black hole formation occurs during scalar field collapse.

Solutions exhibit both local and global properties of the spacetime.

Collapse leads to black holes in 2+1-dimensional spacetime.

Abstract

The 2+1-dimensional geodesic circularly symmetric solutions of Einstein-massless-scalar field equations with negative cosmological constant are found and their local and global properties are studied. It is found that one of them represents gravitational collapse where black holes are always formed.