Eccentricity distribution of extreme mass ratio inspirals

Abstract

We present realistic eccentricity distributions for extreme mass ratio inspirals (EMRIs) forming via the two-body relaxation channel in nuclear star clusters, tracking their evolution up to the final plunge onto the central Schwarzschild massive black hole (MBH). We find that EMRIs can retain significant eccentricities at plunge, with a distribution peaking at $e_{\mathrm{pl}}\approx 0.2$, and a considerable fraction reaching much higher values. In particular, up to $20\%$ of the forming EMRIs feature $e_{\mathrm{pl}}>0.5$ for central MBH masses $M_{\bullet }$ in the range $10^5{\mathrm{M}}_{\odot }\le M_{\bullet }\le 10^6{\mathrm{M}}_{\odot }$, partially due to EMRIs forming at large semi-major axes and "cliffhanger EMRI", usually neglected in literature. This highlights the importance of accounting for eccentricity in waveform modeling and detection strategies for future space-based gravitational wave observatories such as the upcoming Laser Interferometer Space Antenna (LISA). Furthermore, we find that the numerical fluxes in energy and angular momentum currently implemented in the FastEMRIWaveforms (FEW) package may not adequately sample the full parameter space relevant to low-mass MBHs ($M_{\bullet }<10^6{\mathrm{M}}_{\odot }$), potentially limiting its predictive power in that regime. Specifically, for $M_{\bullet }=10^5{\mathrm{M}}_{\odot }$ we find that about $75\%$ ($50\%$) of EMRIs at 2 years (6 months) from plunge fall outside the currently available flux parameter space. Our findings motivate the development of extended flux grids and improved interpolation schemes to enable accurate modeling of EMRIs across a broader range of system parameters.

arXiv comment18 pages, 10 figures, 1 table; submitted to Phys. Rev. D; open data on Zenodo

References in corpus (62)

• A Fundamental Relation Between Supermassive Black Holes and Their Host Galaxies
• Coevolution (Or Not) of Supermassive Black Holes and Host Galaxies
• The Demography of Massive Dark Objects in Galaxy Centres
• A Relationship Between Nuclear Black Hole Mass and Galaxy Velocity Dispersion
• The M-sigma and M-L Relations in Galactic Bulges and Determinations of their Intrinsic Scatter
• Intermediate-Mass Black Holes
• Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals
• LISA Capture Sources: Approximate Waveforms, Signal-to-Noise Ratios, and Parameter Estimation Accuracy
• Can environmental effects spoil precision gravitational-wave astrophysics?
• Intermediate and Extreme Mass-Ratio Inspirals -- Astrophysics, Science Applications and Detection using LISA
• The ACS Virgo Cluster Survey. VIII. The Nuclei of Early-Type Galaxies
• Tidal Disruption Events
• Cosmology with the Laser Interferometer Space Antenna
• An HST Census of Nuclear Star Clusters in Late-Type Spiral Galaxies: I. Observations and Image Analysis
• Starbursts near supermassive black holes: young stars in the Galactic Center, and gravitational waves in LISA band
• A Family of Models for Spherical Stellar Systems
• New Horizons for Fundamental Physics with LISA
• Zoom & Whirl: Eccentric equatorial orbits around spinning black holes and their evolution under gravitational radiation reaction
• Nine-hour X-ray quasi-periodic eruptions from a low-mass black hole galactic nucleus
• The nuclear star cluster of the Milky Way: proper motions and mass
• The structure of the nuclear stellar cluster of the Milky Way
• Celestial mechanics in Kerr spacetime
• Relativistic Dynamics and Extreme Mass Ratio Inspirals
• X-ray Quasi-Periodic Eruptions from two previously quiescent galaxies
• FastEMRIWaveforms: New tools for millihertz gravitational-wave data analysis
• Analytical solutions of bound timelike geodesic orbits in Kerr spacetime
• X-ray quasi-periodic eruptions from the galactic nucleus of RX J1301.9+2747
• The orbital statistics of stellar inspiral and relaxation near a massive black hole: characterizing gravitational wave sources
• Imprint of Accretion Disk-Induced Migration on Gravitational Waves from Extreme Mass Ratio Inspirals
• Stellar Dynamics and Stellar Phenomena Near A Massive Black Hole
• Tidal stellar disruptions by massive black hole pairs: II. Decaying binaries
• Rapid generation of fully relativistic extreme-mass-ratio-inspiral waveform templates for LISA data analysis
• The ACS Fornax Cluster Survey. VI. The Nuclei of Early-Type Galaxies in the Fornax Cluster
• Adiabatic waveforms for extreme mass-ratio inspirals via multivoice decomposition in time and frequency
• Binary Encounters With Supermassive Black Holes: Zero-Eccentricity LISA Events
• Formation Rate of Extreme Mass Ratio Inspirals in Active Galactic Nuclei
• Stellar Dynamics of Extreme-Mass-Ratio Inspirals
• Quasi-periodic eruptions from impacts between the secondary and a rigidly precessing accretion disc in an extreme mass-ratio inspiral system
• LISA extreme-mass-ratio inspiral events as probes of the black hole mass function
• The location of the last stable orbit in Kerr spacetime
• Tormund's return: Hints of quasi-periodic eruption features from a recent optical tidal disruption event
• Extreme mass-ratio inspirals in ultra-light dark matter
• Unstable Mass Transfer from a Main-Sequence Star to a Supermassive Black Hole and Quasi-Periodic Eruptions
• Analytic solutions for parallel transport along generic bound geodesics in Kerr spacetime
• The role of the supermassive black hole spin in the estimation of the EMRI event rate
• Extreme mass ratio inspirals on the equatorial plane in the adiabatic order
• In-situ extreme mass ratio inspirals via sub-parsec formation and migration of stars in thin, gravitationally unstable AGN discs
• Exploring the local black hole mass function below $10^6$ solar masses
• Spinning test body orbiting around a Kerr black hole: Eccentric equatorial orbits and their asymptotic gravitational-wave fluxes
• Waveform Modelling for the Laser Interferometer Space Antenna
• Fast and Fourier: Extreme Mass Ratio Inspiral Waveforms in the Frequency Domain
• The Combined Effects of Two-Body Relaxation Processes and the Eccentric Kozai-Lidov Mechanism on the EMRI Rate
• Improved gravitational radiation time-scales: significance for LISA and LIGO-Virgo sources
• Extreme mass ratio inspirals and tidal disruption events in nuclear clusters. I. Time dependent rates
• Can supernova kicks trigger EMRIs in the Galactic Centre?
• Supernova Kicks and Dynamics of Compact Remnants in the Galactic Centre
• Extreme mass-ratio gravitational-wave sources: Mass segregation and post binary tidal-disruption captures
• SRG/eROSITA No. 5: Discovery of quasi-periodic eruptions every ~3.7 days from a galaxy at z>0.1
• Dynamics around supermassive black holes: Extreme mass-ratio inspirals as gravitational-wave sources
• Hanging on the cliff: Extreme mass ratio inspiral formation with local two-body relaxation and post-Newtonian dynamics
• Non-adiabatic dynamics of eccentric black-hole binaries in post-Newtonian theory
• A note on the conversion of orbital angles for extreme mass ratio inspirals

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