Trapping Horizon and Negative Energy

Abstract

Assuming spherical symmetry and the semi-classical Einstein equation, we prove that, for the observers on top of the trapping horizon, the vacuum energy-momentum tensor is always that of an ingoing negative energy flux at the speed of light with a universal energy density $\mathcal{E}\simeq -1/(2\kappa a^2)$, (where $a$ is the areal radius of the trapping horizon), which is responsible for the decrease in the black hole's mass over time. This result is independent of the composition of the collapsing matter and the details of the vacuum energy-momentum tensor. The physics behind the universality of this quantity $\mathcal{E}$ and its surprisingly large magnitude will be discussed.

arXiv comment17 pages, 3 figures

References in corpus (15)

• Black Holes: Complementarity or Firewalls?
• Formation and evaporation of non-singular black holes
• The information paradox: A pedagogical introduction
• AdS/CFT duality and the black hole information paradox
• Better Late than Never: Information Retrieval from Black Holes
• Black Hole Evaporation without Information Loss
• Statistical interpretation of Bekenstein entropy for systems with a stretched horizon
• The Black Hole information problem: past, present, and future
• The Internal Geometry of an Evaporating Black Hole
• A Self-consistent Model of the Black Hole Evaporation
• Phenomenological Description of the Interior of the Schwarzschild Black Hole
• The Absence of Horizon in Black-Hole Formation
• Comment on Self-Consistent Model of Black Hole Formation and Evaporation
• On the Near-Horizon Geometry of an Evaporating Black Hole
• Asymptotic Black Holes

Cited by in corpus (6)

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• From Uneventful Horizon to Firewall in D-Dimensional Effective Theory
• Distance between collapsing matter and trapping horizon in evaporating black holes
• Evaporation of a nonsingular Reissner-Nordström black hole and information loss problem
• Asymptotic States of Black Holes in KMY Model