Matching Conditions and Gravitational Collapse in Two-Dimensional Gravity

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.

22 pgs

References in corpus (1)

• Evanescent Black Holes

Cited by in corpus (17)

• Two-Dimensional Black Holes and Planar General Relativity
• Gravitationally Collapsing Dust in $(2+1)$ Dimensions
• Conservation Laws and 2D Black Holes in Dilaton Gravity
• The $D\to 2$ Limit of General Relativity
• Gravitationally Collapsing Shells in (2+1) Dimensions
• Liouville Black Holes
• Curvature Invariants and Lower Dimensional Black Hole Horizons
• Gravitation \& Cosmology in $(1+1)$-dimensional Dilaton Gravity
• Two-dimensional gravitation and Sine-Gordon-Solitons
• The classical solutions of two-dimensional gravity
• The Two-Dimensional Analogue of General Relativity
• Two-dimensional higher-derivative gravity and conformal transformations
• Classical Solutions in Two-Dimensional String Theory and Gravitational Collapse
• Formation of Three-Dimensional Black Strings from Gravitational Collapse of Dust Cloud
• Tachyon Back Reaction on $d=2$ String Black Hole
• Analytic approach to the formation of a three-dimensional black string from a dust cloud
• Quantum radiation of a collapsing shell in three-dimensional AdS spacetime revisited