Dark matter distributions around Schwarzschild-like black holes in bumblebee and Kalb–Ramond models

Abstract A central black hole can attract a dark matter cluster and generate a spike in the density profile, as demonstrated by detailed analysis of Schwarzschild and Kerr black holes in the past. Do different black holes attract dark matter differently? To get a fair answer to this question, we cus...

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Main Authors: Ming-Hong Yu, Towe Wang
Format: Article
Language:English
Published: SpringerOpen 2025-07-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-14548-5
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author Ming-Hong Yu
Towe Wang
author_facet Ming-Hong Yu
Towe Wang
author_sort Ming-Hong Yu
collection DOAJ
description Abstract A central black hole can attract a dark matter cluster and generate a spike in the density profile, as demonstrated by detailed analysis of Schwarzschild and Kerr black holes in the past. Do different black holes attract dark matter differently? To get a fair answer to this question, we customize a relativistic framework to grow general static spherical black holes in dark matter halos and investigate how deviations from the Schwarzschild geometry modify the dark matter spike for the first time. The framework is applied to a class of Schwarzschild-like black hole solutions in Lorentz-violated gravity models – one in the bumblebee model and two in the Kalb–Ramond model. For these black holes, the answer is no if initially the dark matter has a constant distribution, but the answer is yes if it has a Hernquist profile initially.
format Article
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institution DOAJ
issn 1434-6052
language English
publishDate 2025-07-01
publisher SpringerOpen
record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj-art-53f0456f58ec4beab127ebf4d2455e012025-08-20T03:05:56ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-07-0185811010.1140/epjc/s10052-025-14548-5Dark matter distributions around Schwarzschild-like black holes in bumblebee and Kalb–Ramond modelsMing-Hong Yu0Towe Wang1School of Physics and Electronic Science, East China Normal UniversitySchool of Physics and Electronic Science, East China Normal UniversityAbstract A central black hole can attract a dark matter cluster and generate a spike in the density profile, as demonstrated by detailed analysis of Schwarzschild and Kerr black holes in the past. Do different black holes attract dark matter differently? To get a fair answer to this question, we customize a relativistic framework to grow general static spherical black holes in dark matter halos and investigate how deviations from the Schwarzschild geometry modify the dark matter spike for the first time. The framework is applied to a class of Schwarzschild-like black hole solutions in Lorentz-violated gravity models – one in the bumblebee model and two in the Kalb–Ramond model. For these black holes, the answer is no if initially the dark matter has a constant distribution, but the answer is yes if it has a Hernquist profile initially.https://doi.org/10.1140/epjc/s10052-025-14548-5
spellingShingle Ming-Hong Yu
Towe Wang
Dark matter distributions around Schwarzschild-like black holes in bumblebee and Kalb–Ramond models
European Physical Journal C: Particles and Fields
title Dark matter distributions around Schwarzschild-like black holes in bumblebee and Kalb–Ramond models
title_full Dark matter distributions around Schwarzschild-like black holes in bumblebee and Kalb–Ramond models
title_fullStr Dark matter distributions around Schwarzschild-like black holes in bumblebee and Kalb–Ramond models
title_full_unstemmed Dark matter distributions around Schwarzschild-like black holes in bumblebee and Kalb–Ramond models
title_short Dark matter distributions around Schwarzschild-like black holes in bumblebee and Kalb–Ramond models
title_sort dark matter distributions around schwarzschild like black holes in bumblebee and kalb ramond models
url https://doi.org/10.1140/epjc/s10052-025-14548-5
work_keys_str_mv AT minghongyu darkmatterdistributionsaroundschwarzschildlikeblackholesinbumblebeeandkalbramondmodels
AT towewang darkmatterdistributionsaroundschwarzschildlikeblackholesinbumblebeeandkalbramondmodels