Distance between collapsing matter and apparent horizon in evaporating black holes
Journal
Physical Review D
Journal Volume
104
Journal Issue
6
Date Issued
2021
Author(s)
Abstract
Assuming that the vacuum energy-momentum tensor is not exceptionally large, we consider 4D evaporating black holes with spherical symmetry and evaluate the proper distance ΔL between the timelike apparent horizon and the surface of the collapsing matter after it has entered the apparent horizon. We show that ΔL can never be larger than O(n3/2?p) when the black hole has evaporated to 1/n of its initial mass, as long as n?a2/3/?p2/3 (where a is the Schwarzschild radius and ?p is the Planck length). For example, the distance between the matter and the apparent horizon must be Planckian at the Page time. ? 2021 American Physical Society.
SDGs
Type
journal article