On dynamic aspects of the Proca field screening by a black hole

Abstract Classical black holes are known for almost half a century to nullify exterior classical massive vector field associated with a charge crossing the event horizon. This implies that, from the point of view of an external observer, the Proca field of the charge is screened with the strength gr...

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Main Author: Andrei L. Erofeev
Format: Article
Language:English
Published: SpringerOpen 2020-06-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-020-8044-1
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author Andrei L. Erofeev
author_facet Andrei L. Erofeev
author_sort Andrei L. Erofeev
collection DOAJ
description Abstract Classical black holes are known for almost half a century to nullify exterior classical massive vector field associated with a charge crossing the event horizon. This implies that, from the point of view of an external observer, the Proca field of the charge is screened with the strength gradually increasing as the charge adiabatically approaches the event horizon. In this paper we reject the adiabaticity constraint and calculate analytically the field evolution with respect to a distant observer in the frame of the simplest model of a contracting charged spherical shell concentrically surrounding a Schwarzschild black hole. We show that a time scale of the screening is determined by a mass of the black hole and, moreover, loss of Proca hair during the collapse of charged matter has the same temporal character. Due to existence of the event horizon, there is discontinuous jump between massive and massless electrodynamics. This means that presence of an arbitrarily small mass of the photon induces observable effects, which include generation of electric asymmetry of the Universe and galactic magnetic fields.
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spelling doaj.art-83ed2e531d6846c88dca3abe63d37a832022-12-21T18:15:37ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-06-0180611010.1140/epjc/s10052-020-8044-1On dynamic aspects of the Proca field screening by a black holeAndrei L. Erofeev0Budker Institute of Nuclear Physics, SB RASAbstract Classical black holes are known for almost half a century to nullify exterior classical massive vector field associated with a charge crossing the event horizon. This implies that, from the point of view of an external observer, the Proca field of the charge is screened with the strength gradually increasing as the charge adiabatically approaches the event horizon. In this paper we reject the adiabaticity constraint and calculate analytically the field evolution with respect to a distant observer in the frame of the simplest model of a contracting charged spherical shell concentrically surrounding a Schwarzschild black hole. We show that a time scale of the screening is determined by a mass of the black hole and, moreover, loss of Proca hair during the collapse of charged matter has the same temporal character. Due to existence of the event horizon, there is discontinuous jump between massive and massless electrodynamics. This means that presence of an arbitrarily small mass of the photon induces observable effects, which include generation of electric asymmetry of the Universe and galactic magnetic fields.http://link.springer.com/article/10.1140/epjc/s10052-020-8044-1
spellingShingle Andrei L. Erofeev
On dynamic aspects of the Proca field screening by a black hole
European Physical Journal C: Particles and Fields
title On dynamic aspects of the Proca field screening by a black hole
title_full On dynamic aspects of the Proca field screening by a black hole
title_fullStr On dynamic aspects of the Proca field screening by a black hole
title_full_unstemmed On dynamic aspects of the Proca field screening by a black hole
title_short On dynamic aspects of the Proca field screening by a black hole
title_sort on dynamic aspects of the proca field screening by a black hole
url http://link.springer.com/article/10.1140/epjc/s10052-020-8044-1
work_keys_str_mv AT andreilerofeev ondynamicaspectsoftheprocafieldscreeningbyablackhole