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Trapping horizon and negative energy

  • Pei-Ming HoEmail author
  • Yoshinori Matsuo
Open Access
Regular Article - Theoretical Physics
  • 15 Downloads

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 ℰ ≃ − 1/(2κa2), (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 ℰ and its surprisingly large magnitude will be discussed.

Keywords

Black Holes Effective Field Theories 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Department of Physics and Center for Theoretical PhysicsNational Taiwan UniversityTaipeiR.O.C.
  2. 2.Department of PhysicsOsaka UniversityToyonakaJapan

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