Radiation collapse and gravitational waves in three dimensions

TL;DR

This paper presents two new three-dimensional gravity solutions: one modeling radiation collapse into a black hole, and another describing plane gravitational waves coupled to a scalar field, advancing understanding of gravitational phenomena in lower dimensions.

Contribution

It introduces two novel non-static solutions in 3D gravity with matter, including a Vaidya-like collapse model and a plane wave solution with scalar coupling.

Findings

Model of radiation collapse leading to black hole formation

Solution describing plane gravitational waves with scalar fields

Framework for studying gravitational phenomena in three dimensions

Abstract

Two non-static solutions for three dimensional gravity coupled to matter fields are given. One describes the collapse of radiation that results in a black hole. This is the three dimensional analog of the Vaidya metric, and is used to construct a model for mass inflation. The other describes plane gravitational waves for coupling to a massless scalar field.