Superradiant Phenomena for Spinor Fields in Rotating Black Hole Geometry

We derive the results (i) the ortho-normal and completeness relations for normal modes and (ii) non-existence of zero mode for spinor fields in rotating black hole geometry. From these results, we show that superradiant phenomena for spinor fields should be type 2: positive momentum on the horizon (...

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Main Authors: Kenmoku Masakatsu, Cho Yongmin, Shigemoto Kazuyasu, Yoon Jong-Hyuk
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:EPJ Web of Conferences
Online Access:https://doi.org/10.1051/epjconf/201816809001
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spelling doaj-b8d54873af4e41f19cf6f4b3a72c59b62021-08-02T19:58:11ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011680900110.1051/epjconf/201816809001epjconf_icgaxiii-ik2018_09001Superradiant Phenomena for Spinor Fields in Rotating Black Hole GeometryKenmoku MasakatsuCho YongminShigemoto KazuyasuYoon Jong-HyukWe derive the results (i) the ortho-normal and completeness relations for normal modes and (ii) non-existence of zero mode for spinor fields in rotating black hole geometry. From these results, we show that superradiant phenomena for spinor fields should be type 2: positive momentum on the horizon (pH > 0) and negative frequency at infinity (ω < 0).https://doi.org/10.1051/epjconf/201816809001
collection DOAJ
language English
format Article
sources DOAJ
author Kenmoku Masakatsu
Cho Yongmin
Shigemoto Kazuyasu
Yoon Jong-Hyuk
spellingShingle Kenmoku Masakatsu
Cho Yongmin
Shigemoto Kazuyasu
Yoon Jong-Hyuk
Superradiant Phenomena for Spinor Fields in Rotating Black Hole Geometry
EPJ Web of Conferences
author_facet Kenmoku Masakatsu
Cho Yongmin
Shigemoto Kazuyasu
Yoon Jong-Hyuk
author_sort Kenmoku Masakatsu
title Superradiant Phenomena for Spinor Fields in Rotating Black Hole Geometry
title_short Superradiant Phenomena for Spinor Fields in Rotating Black Hole Geometry
title_full Superradiant Phenomena for Spinor Fields in Rotating Black Hole Geometry
title_fullStr Superradiant Phenomena for Spinor Fields in Rotating Black Hole Geometry
title_full_unstemmed Superradiant Phenomena for Spinor Fields in Rotating Black Hole Geometry
title_sort superradiant phenomena for spinor fields in rotating black hole geometry
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2018-01-01
description We derive the results (i) the ortho-normal and completeness relations for normal modes and (ii) non-existence of zero mode for spinor fields in rotating black hole geometry. From these results, we show that superradiant phenomena for spinor fields should be type 2: positive momentum on the horizon (pH > 0) and negative frequency at infinity (ω < 0).
url https://doi.org/10.1051/epjconf/201816809001
work_keys_str_mv AT kenmokumasakatsu superradiantphenomenaforspinorfieldsinrotatingblackholegeometry
AT choyongmin superradiantphenomenaforspinorfieldsinrotatingblackholegeometry
AT shigemotokazuyasu superradiantphenomenaforspinorfieldsinrotatingblackholegeometry
AT yoonjonghyuk superradiantphenomenaforspinorfieldsinrotatingblackholegeometry
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