Extreme mass ratio inspirals into black holes surrounded by matter: Resonance crossings
arXiv:2511.08057 · doi:10.1103/qxx6-vvvk
Abstract
The forthcoming space-based gravitational-wave observatory Laser Interferometer Space Antenna (LISA) should enable the detection of Extreme Mass Ratio Inspirals (EMRIs), in which a stellar-mass compact object gradually inspirals into a supermassive black hole while emitting gravitational waves. Modeling the waveforms of such systems is a challenging task, requiring precise computation of energy and angular momentum fluxes as well as proper treatment of orbital resonances, during which two fundamental orbital frequencies become commensurate. In this work, we perform a systematic comparison of fluxes derived from three approaches: the quadrupole formula, post-Newtonian approximations, and time-domain solutions of the Teukolsky equation. We show that quadrupole-based fluxes remain in good agreement with Teukolsky results across a broad range of orbital configurations, including perturbed orbits. Building on these insights, we explore the dynamical impact of resonance crossings within the adiabatic approximation. By introducing novel numerical methods, we reduce computational costs and uncover diverse resonance-crossing behaviors. These results contribute to the effort to understand theoretically and model adequately resonance crossings during an EMRI.
arXiv comment23 page, 28 figures
References in corpus (34)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
- GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
- GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
- Science with the space-based interferometer eLISA. II: Gravitational waves from cosmological phase transitions
- Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals
- Can environmental effects spoil precision gravitational-wave astrophysics?
- Science with the space-based interferometer eLISA. I: Supermassive black hole binaries
- Science with the space-based interferometer LISA. IV: Probing inflation with gravitational waves
- The promise of multi-band gravitational wave astronomy
- Gravitational self force in extreme mass-ratio inspirals
- Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
- Science with the space-based interferometer eLISA. III: Probing the expansion of the Universe using gravitational wave standard sirens
- Gravitational waves from extreme-mass-ratio systems in astrophysical environments
- Observable Properties of Orbits in Exact Bumpy Spacetimes
- Approximating the inspiral of test bodies into Kerr black holes
- Adiabatic waveforms for extreme mass-ratio inspirals via multivoice decomposition in time and frequency
- Improved approximate inspirals of test-bodies into Kerr black holes
- Transient resonances in the inspirals of point particles into black holes
- An observable signature of a background deviating from Kerr
- A new gravitational wave generation algorithm for particle perturbations of the Kerr spacetime
- Black hole perturbation theory and gravitational self-force
- The non-integrability of the Zipoy-Voorhees metric
- Importance of transient resonances in extreme-mass-ratio inspirals
- Testing spacetime symmetry through gravitational waves from extreme-mass-ratio inspirals
- Conditions for Sustained Orbital Resonances in Extreme Mass Ratio Inspirals
- Assessing the impact of transient orbital resonances
- Gravitational-wave glitches: resonant islands and frequency jumps in non-integrable extreme-mass-ratio inspirals
- Extreme-mass-ratio inspirals into rotating boson stars: nonintegrability, chaos, and transient resonances
- "Flux-balance formulae" for extreme mass-ratio inspirals
- Non-linear effects in EMRI dynamics and their imprints on gravitational waves
- Resonance crossing of a charged body in a magnetized Kerr background: an analogue of extreme mass ratio inspiral
- Comment on "Gravity Waves, Chaos, and Spinning Compact Binaries"
- Environmentally-induced chaos: Extreme-mass-ratio systems of rotating black holes in astrophysical environments