Connecting Cores and Black Hole Dynamics Across Scales: From Globular Clusters to Massive Ellipticals

Fuente: arXiv
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Autores principales: Kremer, Kyle, Weatherford, Newlin C., Hopkins, Philip F., Rui, Nicholas Z., Ye, Claire S.
Formato: Preprint
Publicado: 2025
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author Kremer, Kyle
Weatherford, Newlin C.
Hopkins, Philip F.
Rui, Nicholas Z.
Ye, Claire S.
author_facet Kremer, Kyle
Weatherford, Newlin C.
Hopkins, Philip F.
Rui, Nicholas Z.
Ye, Claire S.
contents The centers of massive elliptical galaxies exhibit a wide range in density profiles, from central cusps to resolved cores with order kiloparsec sizes. The cored ellipticals have been linked to the presence of supermassive black hole binaries that excavate their hosts' central stellar populations through three-body encounters. This connection between cores and black holes similarly operates in globular clusters, which also exhibit a bimodality in cored and core-collapsed architectures, respectively rich and depleted in stellar black holes. We report new estimates of the total black hole mass in 25 Galactic globular clusters based on a suite of roughly 150 Monte Carlo $N$-body simulations that fit observed surface brightness and velocity dispersion profiles. We show that both globular clusters and massive elliptical galaxies individually exhibit strong correlations between total black hole mass ($M_\bullet$) and core radius ($r_c$), and that these individual relations share a common power-law exponent to within $1σ$ statistical precision: $M_\bullet \sim r_c^{1.3}$. The individual relations appear to be offset, suggesting swarms of stellar black holes scour globular cluster cores more efficiently than lone supermassive black holes scour the cores of massive ellipticals. Yet the shared basis of core scouring via black hole binaries hints at a unified $M_{\bullet}-r_c$ connection across over 10 orders of magnitude in $M_\bullet$. Our findings imply core radius measurements may offer a powerful observational constraint on black hole merger rates, from kilohertz sources detectable by LIGO/Virgo/KAGRA formed in globular clusters to millihertz and nanohertz sources formed in massive elliptical galaxies.
format Preprint
id arxiv_https___arxiv_org_abs_2510_11787
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Connecting Cores and Black Hole Dynamics Across Scales: From Globular Clusters to Massive Ellipticals
Kremer, Kyle
Weatherford, Newlin C.
Hopkins, Philip F.
Rui, Nicholas Z.
Ye, Claire S.
Astrophysics of Galaxies
The centers of massive elliptical galaxies exhibit a wide range in density profiles, from central cusps to resolved cores with order kiloparsec sizes. The cored ellipticals have been linked to the presence of supermassive black hole binaries that excavate their hosts' central stellar populations through three-body encounters. This connection between cores and black holes similarly operates in globular clusters, which also exhibit a bimodality in cored and core-collapsed architectures, respectively rich and depleted in stellar black holes. We report new estimates of the total black hole mass in 25 Galactic globular clusters based on a suite of roughly 150 Monte Carlo $N$-body simulations that fit observed surface brightness and velocity dispersion profiles. We show that both globular clusters and massive elliptical galaxies individually exhibit strong correlations between total black hole mass ($M_\bullet$) and core radius ($r_c$), and that these individual relations share a common power-law exponent to within $1σ$ statistical precision: $M_\bullet \sim r_c^{1.3}$. The individual relations appear to be offset, suggesting swarms of stellar black holes scour globular cluster cores more efficiently than lone supermassive black holes scour the cores of massive ellipticals. Yet the shared basis of core scouring via black hole binaries hints at a unified $M_{\bullet}-r_c$ connection across over 10 orders of magnitude in $M_\bullet$. Our findings imply core radius measurements may offer a powerful observational constraint on black hole merger rates, from kilohertz sources detectable by LIGO/Virgo/KAGRA formed in globular clusters to millihertz and nanohertz sources formed in massive elliptical galaxies.
title Connecting Cores and Black Hole Dynamics Across Scales: From Globular Clusters to Massive Ellipticals
topic Astrophysics of Galaxies
url https://arxiv.org/abs/2510.11787