A Note on trapped Surfaces in the Vaidya Solution

Abstract

The Vaidya solution describes the gravitational collapse of a finite shell of incoherent radiation falling into flat spacetime and giving rise to a Schwarzschild black hole. There has been a question whether closed trapped surfaces can extend into the flat region (whereas closed outer trapped surfaces certainly can). For the special case of self-similar collapse we show that the answer is yes, if and only if the mass function rises fast enough.

14 pages, 4 figures; minor polish added to version 2

References in corpus (7)

• Isolated and dynamical horizons and their applications
• Black hole boundaries
• The region with trapped surfaces in spherical symmetry, its core, and their boundaries
• Non-symmetric trapped surfaces in the Schwarzschild and Vaidya spacetimes
• Black Hole Boundary Conditions and Coordinate Conditions
• Outer Trapped Surfaces in Vaidya Spacetimes
• Kerr-Schild Symmetries

Cited by in corpus (32)

• The 1965 Penrose singularity theorem
• Physical observability of horizons
• Lectures on black holes and linear waves
• The region with trapped surfaces in spherical symmetry, its core, and their boundaries
• Trapped surfaces
• Spacetime near isolated and dynamical trapping horizons
• The slicing dependence of non-spherically symmetric quasi-local horizons in Vaidya Spacetimes
• Identification of black hole horizons using scalar curvature invariants
• Gravitational collapse and topology change in spherically symmetric dynamical systems
• Quasi-local black hole horizons
• Gravitational Collapse in the EGB Gravity
• Marginally Trapped Surfaces in Spherical Gravitational Collapse
• Quasi-Local Black Hole Horizons: Recent Advances
• Trapped surfaces in Oppenheimer-Snyder black holes
• Particle production from marginally trapped surfaces of general spacetimes
• Trapped and marginally trapped surfaces in Weyl-distorted Schwarzschild solutions
• Vaidya Spacetime in the Diagonal Coordinates
• Where are the trapped surfaces?
• Involute, minimal, outer and increasingly trapped spheres
• On maximal analytical extension of the Vaidya metric
• On the existence of marginally trapped tubes in spacetimes with local rotational symmetry
• On the boundary of the region containing trapped surfaces
• Quasi-Local Energy Flux of Spacetime Perturbation
• Black hole regions containing no trapped surfaces
• Vaidya Solution in General Covariant Hořava-Lifshitz Gravity with the Minimum Coupling and without Projectability: Infrared Limit
• Involute, minimal, outer and increasingly trapped surfaces
• Vaidya Solutions in General Covariant Hořava-Lifshitz Gravity without Projectability: Infrared Limit
• Spherical trapped surfaces in n-dimensional general relativity
• Uniqueness theorems for static spacetimes containing marginally outer trapped surfaces
• Shear-free Dust Solution in General Covariant Hořava-Lifshitz Gravity
• Some examples of trapped surfaces
• A trapped surface in the higher-dimensional self-similar Vaidya spacetime