Cosmic Censorship in 2-Dimensional Dilaton Gravity

Abstract

The global structure of 2-dimensional dilaton gravity is studied, attending in particular to black holes and singularities. A gravitational energy is defined and shown to be positive at spatial singularities and negative at temporal singularities. Trapped points are defined, and it is shown that spatial singularities are trapped and temporal singularities are not. Thus a local form of cosmic censorship holds for positive energy. In an analogue of gravitational collapse to a black hole, matter falling into an initially flat space creates a spatial curvature singularity which is cloaked in a spatial or null apparent horizon with non-decreasing energy and area.

10 pages

References in corpus (6)

• Evanescent Black Holes
• Black Hole Evaporation in 1+1 Dimensions
• Hawking Radiation and Back-Reaction
• Fadeev-Popov Ghosts and 1+1 Dimensional Black Hole Evaporation
• Naked and Thunderbolt Singularities in Black Hole Evaporation
• The Causal Structure of Two-Dimensional Spacetimes

Cited by in corpus (10)

• Quasi-Local Gravitational Energy
• Information is Not Lost in the Evaporation of 2-dimensional Black Holes
• Surprises in the Evaporation of 2-Dimensional Black Holes
• Evaporation of 2-Dimensional Black Holes
• Dilatonic wormholes: construction, operation, maintenance and collapse to black holes
• An Uneventful Horizon in Two Dimensions
• Quantum gravity effects in the CGHS model of collapse to a black hole
• Boundary Conditions and Quasilocal Energy in the Canonical Formulation of All 1+1 Models of Gravity
• Construction and enlargement of dilatonic wormholes by impulsive radiation
• Colliding fields in two-dimensional dilaton gravity background