dorsal/arxiv
View SchemaFROST-CLUSTERS -- III. Metallicity-dependent intermediate mass black hole formation by runaway collisions in dense star clusters
| Authors | Antti Rantala, Thorsten Naab, Natalia Lahén, Klaus Reuter, Markus Rampp, Martyna Chruślińska, Bastián Reinoso |
|---|---|
| Categories | |
| ArXiv ID | 2601.07917vv1 |
| URL | https://arxiv.org/abs/2601.07917 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
We explore the formation of intermediate mass black holes (IMBHs), potential seeds for supermassive black holes (SMBHs), via runaway stellar collisions for a wide range of star cluster (surface) densities ($4\times10^3 M_\odot$ pc$^{-2} \lesssim \Sigma_\mathrm{h}$ $\lesssim 4\times10^6 M_\odot$ pc$^{-2}$) and metallicities ($0.01 Z_\odot \lesssim Z \lesssim 1.0 Z_\odot)$. Our sample of isolated $(>1400)$ and hierarchical ($30$) simulations of young, massive star clusters with up to $N=1.8\times10^6$ stars includes collisional stellar dynamics, stellar evolution, and post-Newtonian equations of motion for black holes using the BIFROST code. High stellar wind rates suppress IMBH formation at high metallicities $(Z \gtrsim 0.2 Z_\odot)$ and low collision rates prevent their formation at low densities ($\Sigma_\mathrm{h} \lesssim 3\times10^4 M_\odot$ pc$^{-2}$). The assumptions about stellar wind loss rates strongly affect the maximum final IMBH masses $(M_\bullet \sim 6000 M_\odot$ vs. $25000 M_\odot$). The total stellar mass loss from collisions and collisionally boosted winds before $t=3$ Myr can together reach up to 5-10% of the final cluster mass. We present fitting formulae for IMBH masses as a function of host star cluster $\Sigma_\mathrm{h}$ and Z, and formulate a model for the cosmic IMBH formation rate density. Depending on the cluster birth densities, the IMBH formation rates peak at $z\sim2$-$4$ at up to $\sim10^{-7}$ yr$^{-1}$cMpc$^{-3}$. As more than 50% form below $z\lesssim1.5$-$3$, the model challenges a view in which all local IMBHs are failed early Universe SMBH seeds.
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"abstract": "We explore the formation of intermediate mass black holes (IMBHs), potential seeds for supermassive black holes (SMBHs), via runaway stellar collisions for a wide range of star cluster (surface) densities ($4\\times10^3 M_\\odot$ pc$^{-2} \\lesssim \\Sigma_\\mathrm{h}$ $\\lesssim 4\\times10^6 M_\\odot$ pc$^{-2}$) and metallicities ($0.01 Z_\\odot \\lesssim Z \\lesssim 1.0 Z_\\odot)$. Our sample of isolated $(\u003e1400)$ and hierarchical ($30$) simulations of young, massive star clusters with up to $N=1.8\\times10^6$ stars includes collisional stellar dynamics, stellar evolution, and post-Newtonian equations of motion for black holes using the BIFROST code. High stellar wind rates suppress IMBH formation at high metallicities $(Z \\gtrsim 0.2 Z_\\odot)$ and low collision rates prevent their formation at low densities ($\\Sigma_\\mathrm{h} \\lesssim 3\\times10^4 M_\\odot$ pc$^{-2}$). The assumptions about stellar wind loss rates strongly affect the maximum final IMBH masses $(M_\\bullet \\sim 6000 M_\\odot$ vs. $25000 M_\\odot$). The total stellar mass loss from collisions and collisionally boosted winds before $t=3$ Myr can together reach up to 5-10% of the final cluster mass. We present fitting formulae for IMBH masses as a function of host star cluster $\\Sigma_\\mathrm{h}$ and Z, and formulate a model for the cosmic IMBH formation rate density. Depending on the cluster birth densities, the IMBH formation rates peak at $z\\sim2$-$4$ at up to $\\sim10^{-7}$ yr$^{-1}$cMpc$^{-3}$. As more than 50% form below $z\\lesssim1.5$-$3$, the model challenges a view in which all local IMBHs are failed early Universe SMBH seeds.",
"arxiv_id": "2601.07917",
"authors": [
"Antti Rantala",
"Thorsten Naab",
"Natalia Lah\u00e9n",
"Klaus Reuter",
"Markus Rampp",
"Martyna Chru\u015bli\u0144ska",
"Basti\u00e1n Reinoso"
],
"categories": [
"astro-ph.GA"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "FROST-CLUSTERS -- III. Metallicity-dependent intermediate mass black hole formation by runaway collisions in dense star clusters",
"url": "https://arxiv.org/abs/2601.07917",
"version": "v1"
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