Trapped surfaces in Oppenheimer-Snyder black holes

Abstract

The Oppenheimer-Snyder solution models a homogeneous round dust cloud collapsing to a black hole. Inside its event horizon there is a region through which trapped surfaces pass. We try to determine exactly where the boundary of this region meets the centre of the cloud. We present explicit examples of the relevant trapped (topological) spheres; they extend into the exterior vacuum region, and are carefully matched at the junction between the cloud and the vacuum.

34 pages, 7 figures

References in corpus (6)

• The region with trapped surfaces in spherical symmetry, its core, and their boundaries
• Outer Trapped Surfaces in Vaidya Spacetimes
• A Note on trapped Surfaces in the Vaidya Solution
• The slicing dependence of non-spherically symmetric quasi-local horizons in Vaidya Spacetimes
• Asymptotic Behavior of Spherically Symmetric Marginally Trapped Tubes
• Oppenheimer-Snyder Collapse in Moving-Puncture Coordinates

Cited by in corpus (10)

• The 1965 Penrose singularity theorem
• Black hole inner horizon evaporation in semiclassical gravity
• Causal Nature and Dynamics of Trapping Horizons in Black Hole Collapse
• Marginally Trapped Surfaces in Spherical Gravitational Collapse
• Quasi-Local Black Hole Horizons: Recent Advances
• Gravitational Collapse in the EGB Gravity
• Quantum oscillations in the black hole horizon
• Spherical trapped surfaces in n-dimensional general relativity
• Expansion of bundles of light rays in the Lemaître -- Tolman models
• An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole