The extreme orbital period in scalar hairy kerr black holes

In a very interesting paper, Hod has proven that the equatorial null circular geodesic provides the extreme orbital period to circle a kerr black hole, which is closely related to the Fermat's principle. In the present paper, we extend the discussion to kerr black holes with scalar field hair....

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Main Author: Yan Peng
Format: Article
Language:English
Published: Elsevier 2019-05-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269319301777
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author Yan Peng
author_facet Yan Peng
author_sort Yan Peng
collection DOAJ
description In a very interesting paper, Hod has proven that the equatorial null circular geodesic provides the extreme orbital period to circle a kerr black hole, which is closely related to the Fermat's principle. In the present paper, we extend the discussion to kerr black holes with scalar field hair. We show that the circle with the extreme orbital period is still identical to the null circular geodesic. Our analysis also implies that the Hod's theorem may be a general property in any axially symmetric spacetime with reflection symmetry on the equatorial plane.
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spelling doaj.art-0c8789fb34d647f0b7be49331059ccdc2022-12-22T00:04:20ZengElsevierPhysics Letters B0370-26932019-05-0179213The extreme orbital period in scalar hairy kerr black holesYan Peng0School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaIn a very interesting paper, Hod has proven that the equatorial null circular geodesic provides the extreme orbital period to circle a kerr black hole, which is closely related to the Fermat's principle. In the present paper, we extend the discussion to kerr black holes with scalar field hair. We show that the circle with the extreme orbital period is still identical to the null circular geodesic. Our analysis also implies that the Hod's theorem may be a general property in any axially symmetric spacetime with reflection symmetry on the equatorial plane.http://www.sciencedirect.com/science/article/pii/S0370269319301777
spellingShingle Yan Peng
The extreme orbital period in scalar hairy kerr black holes
Physics Letters B
title The extreme orbital period in scalar hairy kerr black holes
title_full The extreme orbital period in scalar hairy kerr black holes
title_fullStr The extreme orbital period in scalar hairy kerr black holes
title_full_unstemmed The extreme orbital period in scalar hairy kerr black holes
title_short The extreme orbital period in scalar hairy kerr black holes
title_sort extreme orbital period in scalar hairy kerr black holes
url http://www.sciencedirect.com/science/article/pii/S0370269319301777
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