On the proximity of black hole horizons: lessons from Vaidya

Abstract

In dynamical spacetimes, apparent and event horizons do not coincide. In this paper we propose a geometrical measure of the distance between those horizons and investigate it for the case of the Vaidya spacetime. We show that it is well-defined, physically meaningful, and has the expected behaviour in the near-equilibrium limit. We consider its implications for our understanding of black hole physics.

arXiv comment15 pages, 7 figures; Version 2: minor typos corrected and a couple of references added; Version 3: To appear in PRD. Largest changes are inclusion of correct Figure 5 (!!) and rewriting of perturbations in dimensionless form

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Cited by in corpus (17)

• Spacetime near isolated and dynamical trapping horizons
• The slicing dependence of non-spherically symmetric quasi-local horizons in Vaidya Spacetimes
• Black Brane Entropy and Hydrodynamics
• On the apparent horizon in fluid-gravity duality
• On quasinormal modes for the Vaidya metric in asymptotically anti-de Sitter spacetime
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• Marginally Trapped Surfaces in Spherical Gravitational Collapse
• Gravitational Collapse in the EGB Gravity
• Particle creation rate for dynamical black holes
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• Geometry of Vaidya spacetimes
• Mass inflation inside black holes revisited
• Closest Safe Approach to an Accreting Black Hole
• Spherical trapped surfaces in n-dimensional general relativity
• Cosmological coupled black holes immersed in dark sector
• Double null formulation of the general Vaidya metric
• From a collapsing radiating star to an evaporating black hole: A smooth transition from classical to quantum entropy