Matching Conditions and Gravitational Collapse in Two-Dimensional Gravity

TL;DR

This paper develops matching conditions for two-dimensional gravity theories, applying them to dust collapse models with cosmological constants, showing how black holes can form as end states in these simplified models.

Contribution

It introduces a general framework for matching conditions in 2D gravity and applies it to collapse scenarios, revealing black hole formation in two-dimensional models.

Findings

Black holes can form from dust collapse in 2D gravity models.

Matching conditions are successfully extended to theories inspired by general relativity and string theory.

Collapse solutions demonstrate the end state as a 2D black hole.

Abstract

The general theory of matching conditions is developed for gravitational theories in two spacetime dimensions. Models inspired from general relativity and from string theory are considered. These conditions are used to study collapsing dust solutions in spacetimes with non-zero cosmological constant, demonstrating how two-dimensional black holes can arise as the endpoint of such collapse processes.