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), (...
Main Authors: | , |
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Format: | Article |
Language: | English |
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SpringerOpen
2019-06-01
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Series: | Journal of High Energy Physics |
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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. |
first_indexed | 2024-12-23T04:38:47Z |
format | Article |
id | doaj.art-6052b11043354da89e1d133c284a4b3f |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-23T04:38:47Z |
publishDate | 2019-06-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
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 |