Extreme-mass-ratio Inspirals in the Strong Segregation Regime—to Inspiral or to Get Ejected?

Extreme-mass-ratio inspirals (EMRIs) of stellar-mass black holes (BHs) are among the main targets for upcoming low-frequency gravitational wave (GW) detectors such as the Laser Interferometer Space Antenna. In the classical scenario, EMRIs are formed when BHs scatter off each other and are driven on...

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Main Authors: Karamveer Kaur, Hagai B. Perets
Format: Article
Language:English
Published: IOP Publishing 2024-01-01
Series:The Astrophysical Journal
Subjects:
Online Access:https://doi.org/10.3847/1538-4357/ad89bd
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author Karamveer Kaur
Hagai B. Perets
author_facet Karamveer Kaur
Hagai B. Perets
author_sort Karamveer Kaur
collection DOAJ
description Extreme-mass-ratio inspirals (EMRIs) of stellar-mass black holes (BHs) are among the main targets for upcoming low-frequency gravitational wave (GW) detectors such as the Laser Interferometer Space Antenna. In the classical scenario, EMRIs are formed when BHs scatter off each other and are driven onto highly eccentric orbits that gradually inspiral due to GW emission. If the cluster is in a state of strong mass segregation, the BHs are expected to reside in a steep cusp around the central massive black hole (MBH), which would facilitate more efficient EMRI formation. However, strong mass segregation may also lead to an increased rate of ejections due to close encounters between the BHs. Here, we test the relevance of such ejections for EMRI formation by numerically solving a two-dimensional Fokker–Planck equation. Our formalism includes the effects of two-body relaxation, GW dissipation, and ejections. We find that the EMRI formation rate can be suppressed due to ejections by more than an order of magnitude for strongly segregated BH cusps with density index γ ≳ 2.25 around central MBHs of mass M _• ≲ 10 ^6 M _⊙ . The EMRI formation rate levels off up to a maximum value of ≃200 Gyr ^−1 due to ejections, which is roughly an order of magnitude lower than the usual scenarios ignoring ejections for steep BH cusps around low-mass MBHs. Our analysis reveals the significance of strong scatterings for EMRI formation in galactic nuclei.
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spelling doaj-art-1950512f0f804d82a6dbc14cbef243ab2025-08-20T02:28:00ZengIOP PublishingThe Astrophysical Journal1538-43572024-01-019771810.3847/1538-4357/ad89bdExtreme-mass-ratio Inspirals in the Strong Segregation Regime—to Inspiral or to Get Ejected?Karamveer Kaur0https://orcid.org/0000-0001-6474-4402Hagai B. Perets1https://orcid.org/0000-0002-5004-199XTechnion — Israel Institute of Technology, Haifa, 3200002, Israel ; karamveerkaur30@gmail.comTechnion — Israel Institute of Technology, Haifa, 3200002, Israel ; karamveerkaur30@gmail.comExtreme-mass-ratio inspirals (EMRIs) of stellar-mass black holes (BHs) are among the main targets for upcoming low-frequency gravitational wave (GW) detectors such as the Laser Interferometer Space Antenna. In the classical scenario, EMRIs are formed when BHs scatter off each other and are driven onto highly eccentric orbits that gradually inspiral due to GW emission. If the cluster is in a state of strong mass segregation, the BHs are expected to reside in a steep cusp around the central massive black hole (MBH), which would facilitate more efficient EMRI formation. However, strong mass segregation may also lead to an increased rate of ejections due to close encounters between the BHs. Here, we test the relevance of such ejections for EMRI formation by numerically solving a two-dimensional Fokker–Planck equation. Our formalism includes the effects of two-body relaxation, GW dissipation, and ejections. We find that the EMRI formation rate can be suppressed due to ejections by more than an order of magnitude for strongly segregated BH cusps with density index γ ≳ 2.25 around central MBHs of mass M _• ≲ 10 ^6 M _⊙ . The EMRI formation rate levels off up to a maximum value of ≃200 Gyr ^−1 due to ejections, which is roughly an order of magnitude lower than the usual scenarios ignoring ejections for steep BH cusps around low-mass MBHs. Our analysis reveals the significance of strong scatterings for EMRI formation in galactic nuclei.https://doi.org/10.3847/1538-4357/ad89bdGalaxy nucleiGalactic centerStellar dynamicsSupermassive black holesStellar mass black holesGravitational wave sources
spellingShingle Karamveer Kaur
Hagai B. Perets
Extreme-mass-ratio Inspirals in the Strong Segregation Regime—to Inspiral or to Get Ejected?
The Astrophysical Journal
Galaxy nuclei
Galactic center
Stellar dynamics
Supermassive black holes
Stellar mass black holes
Gravitational wave sources
title Extreme-mass-ratio Inspirals in the Strong Segregation Regime—to Inspiral or to Get Ejected?
title_full Extreme-mass-ratio Inspirals in the Strong Segregation Regime—to Inspiral or to Get Ejected?
title_fullStr Extreme-mass-ratio Inspirals in the Strong Segregation Regime—to Inspiral or to Get Ejected?
title_full_unstemmed Extreme-mass-ratio Inspirals in the Strong Segregation Regime—to Inspiral or to Get Ejected?
title_short Extreme-mass-ratio Inspirals in the Strong Segregation Regime—to Inspiral or to Get Ejected?
title_sort extreme mass ratio inspirals in the strong segregation regime to inspiral or to get ejected
topic Galaxy nuclei
Galactic center
Stellar dynamics
Supermassive black holes
Stellar mass black holes
Gravitational wave sources
url https://doi.org/10.3847/1538-4357/ad89bd
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