Black hole mergers in galactic nuclei induced by the eccentric Kozai–Lidov effect

Nuclear star clusters around a central massive black hole (MBH) are expected to be abundant in stellar black hole (BH) remnants and BH–BH binaries. These binaries form a hierarchical triple system with the central MBH, and gravitational perturbations from the MBH can cause high-eccentricity excitati...

Full description

Bibliographic Details
Main Authors: Hoang, B-M, Naoz, S, Kocsis, B, Rasio, FA, Dosopoulou, F
Format: Journal article
Published: American Astronomical Society 2018
_version_ 1826269646786920448
author Hoang, B-M
Naoz, S
Kocsis, B
Rasio, FA
Dosopoulou, F
author_facet Hoang, B-M
Naoz, S
Kocsis, B
Rasio, FA
Dosopoulou, F
author_sort Hoang, B-M
collection OXFORD
description Nuclear star clusters around a central massive black hole (MBH) are expected to be abundant in stellar black hole (BH) remnants and BH–BH binaries. These binaries form a hierarchical triple system with the central MBH, and gravitational perturbations from the MBH can cause high-eccentricity excitation in the BH–BH binary orbit. During this process, the eccentricity may approach unity, and the pericenter distance may become sufficiently small so that gravitational-wave emission drives the BH–BH binary to merge. In this work, we construct a simple proof-of-concept model for this process, and specifically, we study the eccentric Kozai–Lidov mechanism in unequal-mass, soft BH–BH binaries. Our model is based on a set of Monte Carlo simulations for BH–BH binaries in galactic nuclei, taking into account quadrupole- and octupole-level secular perturbations, general relativistic precession, and gravitational-wave emission. For a typical steady-state number of BH–BH binaries, our model predicts a total merger rate of ~1–3 $\,\mathrm{Gpc}$ −3 $\mathrm{yr}$ −1, depending on the assumed density profile in the nucleus. Thus, our mechanism could potentially compete with other dynamical formation processes for merging BH–BH binaries, such as the interactions of stellar BHs in globular clusters or in nuclear star clusters without an MBH.
first_indexed 2024-03-06T21:28:20Z
format Journal article
id oxford-uuid:43d94b00-c56f-453a-9c3a-cf1b3753dd1a
institution University of Oxford
last_indexed 2024-03-06T21:28:20Z
publishDate 2018
publisher American Astronomical Society
record_format dspace
spelling oxford-uuid:43d94b00-c56f-453a-9c3a-cf1b3753dd1a2022-03-26T14:57:57ZBlack hole mergers in galactic nuclei induced by the eccentric Kozai–Lidov effectJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:43d94b00-c56f-453a-9c3a-cf1b3753dd1aSymplectic ElementsAmerican Astronomical Society2018Hoang, B-MNaoz, SKocsis, BRasio, FADosopoulou, FNuclear star clusters around a central massive black hole (MBH) are expected to be abundant in stellar black hole (BH) remnants and BH–BH binaries. These binaries form a hierarchical triple system with the central MBH, and gravitational perturbations from the MBH can cause high-eccentricity excitation in the BH–BH binary orbit. During this process, the eccentricity may approach unity, and the pericenter distance may become sufficiently small so that gravitational-wave emission drives the BH–BH binary to merge. In this work, we construct a simple proof-of-concept model for this process, and specifically, we study the eccentric Kozai–Lidov mechanism in unequal-mass, soft BH–BH binaries. Our model is based on a set of Monte Carlo simulations for BH–BH binaries in galactic nuclei, taking into account quadrupole- and octupole-level secular perturbations, general relativistic precession, and gravitational-wave emission. For a typical steady-state number of BH–BH binaries, our model predicts a total merger rate of ~1–3 $\,\mathrm{Gpc}$ −3 $\mathrm{yr}$ −1, depending on the assumed density profile in the nucleus. Thus, our mechanism could potentially compete with other dynamical formation processes for merging BH–BH binaries, such as the interactions of stellar BHs in globular clusters or in nuclear star clusters without an MBH.
spellingShingle Hoang, B-M
Naoz, S
Kocsis, B
Rasio, FA
Dosopoulou, F
Black hole mergers in galactic nuclei induced by the eccentric Kozai–Lidov effect
title Black hole mergers in galactic nuclei induced by the eccentric Kozai–Lidov effect
title_full Black hole mergers in galactic nuclei induced by the eccentric Kozai–Lidov effect
title_fullStr Black hole mergers in galactic nuclei induced by the eccentric Kozai–Lidov effect
title_full_unstemmed Black hole mergers in galactic nuclei induced by the eccentric Kozai–Lidov effect
title_short Black hole mergers in galactic nuclei induced by the eccentric Kozai–Lidov effect
title_sort black hole mergers in galactic nuclei induced by the eccentric kozai lidov effect
work_keys_str_mv AT hoangbm blackholemergersingalacticnucleiinducedbytheeccentrickozailidoveffect
AT naozs blackholemergersingalacticnucleiinducedbytheeccentrickozailidoveffect
AT kocsisb blackholemergersingalacticnucleiinducedbytheeccentrickozailidoveffect
AT rasiofa blackholemergersingalacticnucleiinducedbytheeccentrickozailidoveffect
AT dosopoulouf blackholemergersingalacticnucleiinducedbytheeccentrickozailidoveffect