2019
DOI: 10.1093/mnras/stz1149
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Black hole growth through hierarchical black hole mergers in dense star clusters: implications for gravitational wave detections

Abstract: In a star cluster with a sufficiently large escape velocity, black holes (BHs) that are produced by BH mergers can be retained, dynamically form new BH binaries, and merge again. This process can repeat several times and lead to significant mass growth. In this paper, we calculate the mass of the largest BH that can form through repeated BH mergers and determine how its value depends on the physical properties of the host cluster. We adopt an analytical model in which the energy generated by the black hole bin… Show more

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Cited by 225 publications
(214 citation statements)
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References 135 publications
(158 reference statements)
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“…Nonetheless, the potential well of the heaviest clusters (globular and nuclear clusters) might be sufficiently deep to retain some of the post-merger BHs. This allows the remnant BHs to possibly undergo multiple mergers (Miller & Hamilton 2002;Gerosa & Berti 2017;Antonini et al 2019;Arca Sedda & Benacquista 2019;Kimball et al 2020;Doctor et al 2020;Rodriguez et al 2019), leading to higher and higher BH masses. The probability for BHs to undergo at least two mergers can rise up to~40% for both globular and nuclear clusters .…”
Section: Gw Recoilmentioning
confidence: 99%
See 1 more Smart Citation
“…Nonetheless, the potential well of the heaviest clusters (globular and nuclear clusters) might be sufficiently deep to retain some of the post-merger BHs. This allows the remnant BHs to possibly undergo multiple mergers (Miller & Hamilton 2002;Gerosa & Berti 2017;Antonini et al 2019;Arca Sedda & Benacquista 2019;Kimball et al 2020;Doctor et al 2020;Rodriguez et al 2019), leading to higher and higher BH masses. The probability for BHs to undergo at least two mergers can rise up to~40% for both globular and nuclear clusters .…”
Section: Gw Recoilmentioning
confidence: 99%
“…Dense stellar systems, like globular or nuclear clusters, can potentially retain merger products and favor multiple mergers, thus allowing BH mass buildup Antonini et al 2019;Gerosa et al 2018;Qin et al 2018;Arca Sedda & Benacquista 2019;Doctor et al 2020;Rodriguez et al 2019). These second generation BHs can significantly affect the BH mass spectrum.…”
Section: Introductionmentioning
confidence: 99%
“…The binding energy, and therefore, the semi-major axis of escaping BH binaries depends on the central escape velocity (v esc ) of the cluster (see Rodriguez et al 2016), which is also proportional to M cl /r h . The condition for in-cluster BH binary mergers to be efficient can also be expressed in M cl and r h (see Antonini et al 2019). We therefore model the evolution of M cl and r h .…”
Section: Philosophy Of the Modelmentioning
confidence: 99%
“…On the other hand, we can estimate the ejection velocity of a light star, vej, after an strong interaction with a BH binary in the cluster core by (Miller & Lauburg 2009;Antonini, Gieles, & Gualandris 2019):…”
Section: Light Starsmentioning
confidence: 99%