Rotating black holes can have short bristles

The elegant ‘no short hair’ theorem states that, if a spherically-symmetric static black hole has hair, then this hair must extend beyond 3/2 the horizon radius. In the present paper we provide evidence for the failure of this theorem beyond the regime of spherically-symmetric static black holes. In...

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Main Author: Shahar Hod
Format: Article
Language:English
Published: Elsevier 2014-12-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269314007953
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author Shahar Hod
author_facet Shahar Hod
author_sort Shahar Hod
collection DOAJ
description The elegant ‘no short hair’ theorem states that, if a spherically-symmetric static black hole has hair, then this hair must extend beyond 3/2 the horizon radius. In the present paper we provide evidence for the failure of this theorem beyond the regime of spherically-symmetric static black holes. In particular, we show that rotating black holes can support extremely short-range stationary scalar configurations (linearized scalar ‘clouds’) in their exterior regions. To that end, we solve analytically the Klein–Gordon–Kerr–Newman wave equation for a linearized massive scalar field in the regime of large scalar masses.
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spelling doaj.art-794c2994f3414e19945a0a54393bb8192022-12-21T17:58:08ZengElsevierPhysics Letters B0370-26932014-12-01739196200Rotating black holes can have short bristlesShahar Hod0The Ruppin Academic Center, Emeq Hefer 40250, Israel; The Hadassah Institute, Jerusalem 91010, Israel; Correspondence to: The Ruppin Academic Center, Emeq Hefer 40250, Israel.The elegant ‘no short hair’ theorem states that, if a spherically-symmetric static black hole has hair, then this hair must extend beyond 3/2 the horizon radius. In the present paper we provide evidence for the failure of this theorem beyond the regime of spherically-symmetric static black holes. In particular, we show that rotating black holes can support extremely short-range stationary scalar configurations (linearized scalar ‘clouds’) in their exterior regions. To that end, we solve analytically the Klein–Gordon–Kerr–Newman wave equation for a linearized massive scalar field in the regime of large scalar masses.http://www.sciencedirect.com/science/article/pii/S0370269314007953
spellingShingle Shahar Hod
Rotating black holes can have short bristles
Physics Letters B
title Rotating black holes can have short bristles
title_full Rotating black holes can have short bristles
title_fullStr Rotating black holes can have short bristles
title_full_unstemmed Rotating black holes can have short bristles
title_short Rotating black holes can have short bristles
title_sort rotating black holes can have short bristles
url http://www.sciencedirect.com/science/article/pii/S0370269314007953
work_keys_str_mv AT shaharhod rotatingblackholescanhaveshortbristles