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 (2)

• The region with trapped surfaces in spherical symmetry, its core, and their boundaries
• Outer Trapped Surfaces in Vaidya Spacetimes

Cited by in corpus (8)

• The 1965 Penrose singularity theorem
• Physical observability of horizons
• The region with trapped surfaces in spherical symmetry, its core, and their boundaries
• The slicing dependence of non-spherically symmetric quasi-local horizons in Vaidya Spacetimes
• Identification of black hole horizons using scalar curvature invariants
• Marginally Trapped Surfaces in Spherical Gravitational Collapse
• Particle production from marginally trapped surfaces of general spacetimes
• Quasi-Local Energy Flux of Spacetime Perturbation