The existence of null circular geodesics outside extremal spherically symmetric asymptotically flat hairy black holes

Abstract The existence of null circular geodesics in the background of non-extremal spherically symmetric asymptotically flat black holes has been proved in previous works. An interesting question that remains, however, is whether extremal black holes possess null circular geodesics outside horizons...

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Main Author: Yan Peng
Format: Article
Language:English
Published: SpringerOpen 2023-04-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-11450-w
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author Yan Peng
author_facet Yan Peng
author_sort Yan Peng
collection DOAJ
description Abstract The existence of null circular geodesics in the background of non-extremal spherically symmetric asymptotically flat black holes has been proved in previous works. An interesting question that remains, however, is whether extremal black holes possess null circular geodesics outside horizons. In the present paper, we focus on the extremal spherically symmetric asymptotically flat hairy black holes. We show the existence of the fastest circular trajectory around an extremal black hole. As the fastest trajectory corresponds to the position of null circular geodesics, we prove that null circular geodesics exist outside extremal spherically symmetric asymptotically flat hairy black holes.
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spelling doaj.art-4402f8e99c8b4e54a303bc27fc794f6b2023-05-21T11:24:25ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-04-018341310.1140/epjc/s10052-023-11450-wThe existence of null circular geodesics outside extremal spherically symmetric asymptotically flat hairy black holesYan Peng0School of Mathematical Sciences, Qufu Normal UniversityAbstract The existence of null circular geodesics in the background of non-extremal spherically symmetric asymptotically flat black holes has been proved in previous works. An interesting question that remains, however, is whether extremal black holes possess null circular geodesics outside horizons. In the present paper, we focus on the extremal spherically symmetric asymptotically flat hairy black holes. We show the existence of the fastest circular trajectory around an extremal black hole. As the fastest trajectory corresponds to the position of null circular geodesics, we prove that null circular geodesics exist outside extremal spherically symmetric asymptotically flat hairy black holes.https://doi.org/10.1140/epjc/s10052-023-11450-w
spellingShingle Yan Peng
The existence of null circular geodesics outside extremal spherically symmetric asymptotically flat hairy black holes
European Physical Journal C: Particles and Fields
title The existence of null circular geodesics outside extremal spherically symmetric asymptotically flat hairy black holes
title_full The existence of null circular geodesics outside extremal spherically symmetric asymptotically flat hairy black holes
title_fullStr The existence of null circular geodesics outside extremal spherically symmetric asymptotically flat hairy black holes
title_full_unstemmed The existence of null circular geodesics outside extremal spherically symmetric asymptotically flat hairy black holes
title_short The existence of null circular geodesics outside extremal spherically symmetric asymptotically flat hairy black holes
title_sort existence of null circular geodesics outside extremal spherically symmetric asymptotically flat hairy black holes
url https://doi.org/10.1140/epjc/s10052-023-11450-w
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AT yanpeng existenceofnullcirculargeodesicsoutsideextremalsphericallysymmetricasymptoticallyflathairyblackholes