Transient scalar hair for nearly extreme black holes

It has been shown recently that extreme Reissner-Nordström black holes perturbed by a minimally coupled, free, massless scalar field have permanent scalar hair. The hair, a conserved charge calculated at the black hole's event horizon, can be measured by a certain expression at future null infi...

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Main Authors: Lior M. Burko, Gaurav Khanna, Subir Sabharwal
Format: Article
Language:English
Published: American Physical Society 2019-11-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.1.033106
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author Lior M. Burko
Gaurav Khanna
Subir Sabharwal
author_facet Lior M. Burko
Gaurav Khanna
Subir Sabharwal
author_sort Lior M. Burko
collection DOAJ
description It has been shown recently that extreme Reissner-Nordström black holes perturbed by a minimally coupled, free, massless scalar field have permanent scalar hair. The hair, a conserved charge calculated at the black hole's event horizon, can be measured by a certain expression at future null infinity: The latter approaches the hair inversely in time. We generalize this newly discovered hair also for extreme Kerr black holes. We study the behavior of nearly extreme black hole hair and its measurement at future null infinity as a transient phenomenon. For nearly extreme black holes the measurement at future null infinity of the length of the newly grown hair decreases quadratically in time at intermediate times until its length becomes short and the rate at which the length shortens further slows down. Eventually, the nearly extreme black hole becomes bald again like nonextreme black holes.
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spelling doaj.art-03bfbde9714c490392a20bfbbf1fceb22024-04-12T16:46:57ZengAmerican Physical SocietyPhysical Review Research2643-15642019-11-011303310610.1103/PhysRevResearch.1.033106Transient scalar hair for nearly extreme black holesLior M. BurkoGaurav KhannaSubir SabharwalIt has been shown recently that extreme Reissner-Nordström black holes perturbed by a minimally coupled, free, massless scalar field have permanent scalar hair. The hair, a conserved charge calculated at the black hole's event horizon, can be measured by a certain expression at future null infinity: The latter approaches the hair inversely in time. We generalize this newly discovered hair also for extreme Kerr black holes. We study the behavior of nearly extreme black hole hair and its measurement at future null infinity as a transient phenomenon. For nearly extreme black holes the measurement at future null infinity of the length of the newly grown hair decreases quadratically in time at intermediate times until its length becomes short and the rate at which the length shortens further slows down. Eventually, the nearly extreme black hole becomes bald again like nonextreme black holes.http://doi.org/10.1103/PhysRevResearch.1.033106
spellingShingle Lior M. Burko
Gaurav Khanna
Subir Sabharwal
Transient scalar hair for nearly extreme black holes
Physical Review Research
title Transient scalar hair for nearly extreme black holes
title_full Transient scalar hair for nearly extreme black holes
title_fullStr Transient scalar hair for nearly extreme black holes
title_full_unstemmed Transient scalar hair for nearly extreme black holes
title_short Transient scalar hair for nearly extreme black holes
title_sort transient scalar hair for nearly extreme black holes
url http://doi.org/10.1103/PhysRevResearch.1.033106
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AT gauravkhanna transientscalarhairfornearlyextremeblackholes
AT subirsabharwal transientscalarhairfornearlyextremeblackholes