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 ℰ ≃ − 1/(2κa 2), (...

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Main Authors: Pei-Ming Ho, Yoshinori Matsuo
Format: Article
Language:English
Published: SpringerOpen 2019-06-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP06(2019)057
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author Pei-Ming Ho
Yoshinori Matsuo
author_facet Pei-Ming Ho
Yoshinori Matsuo
author_sort Pei-Ming Ho
collection DOAJ
description 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/(2κa 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 ℰ and its surprisingly large magnitude will be discussed.
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spelling doaj.art-6052b11043354da89e1d133c284a4b3f2022-12-21T17:59:49ZengSpringerOpenJournal of High Energy Physics1029-84792019-06-012019611610.1007/JHEP06(2019)057Trapping horizon and negative energyPei-Ming Ho0Yoshinori Matsuo1Department of Physics and Center for Theoretical Physics, National Taiwan UniversityDepartment of Physics, Osaka UniversityAbstract 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/(2κa 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 ℰ and its surprisingly large magnitude will be discussed.http://link.springer.com/article/10.1007/JHEP06(2019)057Black HolesEffective Field Theories
spellingShingle Pei-Ming Ho
Yoshinori Matsuo
Trapping horizon and negative energy
Journal of High Energy Physics
Black Holes
Effective Field Theories
title Trapping horizon and negative energy
title_full Trapping horizon and negative energy
title_fullStr Trapping horizon and negative energy
title_full_unstemmed Trapping horizon and negative energy
title_short Trapping horizon and negative energy
title_sort trapping horizon and negative energy
topic Black Holes
Effective Field Theories
url http://link.springer.com/article/10.1007/JHEP06(2019)057
work_keys_str_mv AT peimingho trappinghorizonandnegativeenergy
AT yoshinorimatsuo trappinghorizonandnegativeenergy