Strong-gravity precession resonances for binary systems orbiting a Schwarzschild black hole
arXiv:2505.15901 · doi:10.1103/l542-s32g
Abstract
Binary systems of compact objects in close orbit around a supermassive black hole (SMBH) may form in galactic nuclei, providing a unique environment to probe strong-gravity tidal effects on the binary's dynamics. In this work, we investigate precession resonances arising between the periastron precession frequency of a binary system and its orbital frequencies around the SMBH. By modeling the SMBH as a Schwarzschild black hole, we find that relativistic effects in the tidal field give rise to a significantly richer resonance spectrum compared to the Newtonian case. This result is supported by both perturbative and numerical analyses of the quadrupolar tidal interaction in the strong-gravity regime. Our results reveal new signatures for strong-gravity effects in such triple systems, with potential implications for gravitational-wave astronomy.
12 pages, 3 figures
References in corpus (46)
- 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
- Binary Black Hole Mergers in the first Advanced LIGO Observing Run
- The Eccentric Kozai-Lidov Effect and Its Applications
- Black holes, gravitational waves and fundamental physics: a roadmap
- Secular evolution of compact binaries near massive black holes: gravitational wave sources and other exotica
- Secular Dynamics in Hierarchical Three-Body Systems
- On the Eccentricity Distribution of Coalescing Black Hole Binaries Driven by the Kozai Mechanism in Globular Clusters
- Formation and Evolution of Compact Object Binaries in AGN Disks
- Eccentric Black Hole Mergers Forming in Globular Clusters
- Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
- Black Hole Mergers in Galactic Nuclei Induced by the Eccentric Kozai-Lidov Effect
- Migration Traps in Disks Around Supermassive Black Holes
- Binary Encounters With Supermassive Black Holes: Zero-Eccentricity LISA Events
- Transient resonances in the inspirals of point particles into black holes
- Constraining stellar binary black hole formation scenarios with eLISA eccentricity measurements
- On the Assembly Rate of Highly Eccentric Binary Black Hole Mergers
- An Overabundance of Black Hole X-Ray Binaries in the Galactic Center from Tidal Captures
- Tidal resonance in extreme mass-ratio inspirals
- Orbital Migration of Interacting Stellar Mass Black Holes in Disks around Supermassive Black Holes II. Spins and Incoming Objects
- An Analytical Portrait of Binary Mergers in Hierarchical Triple Systems
- Geometry and dynamics of a tidally deformed black hole
- A New Type of Extreme-mass-ratio Inspirals Produced by Tidal Capture of Binary Black Holes
- Growth of resonances and chaos for a spinning test particle in the Schwarzschild background
- The last migration trap of compact objects in AGN accretion disc
- Analytic solutions for parallel transport along generic bound geodesics in Kerr spacetime
- Resonantly enhanced and diminished strong-field gravitational-wave fluxes
- The Astrophysics of Resonant Orbits in the Kerr Metric
- Gyroscopes orbiting black holes: A frequency-domain approach to precession and spin-curvature coupling for spinning bodies on generic Kerr orbits
- Orbital resonances around Black holes
- Gravitational Waves from Hierarchical Triple Systems with Kozai-Lidov Oscillation
- Importance of tidal resonances in extreme-mass-ratio inspirals
- General Relativistic Dynamics of an Extreme Mass-Ratio Binary interacting with an External Body
- Testing general relativity using binary extreme-mass-ratio inspirals
- Ready-to-use analytic model for gravitational waves from a hierarchical triple with Kozai-Lidov oscillations
- Tidal deformations of a binary system induced by an external Kerr black hole
- Gyroscope precession along bound equatorial plane orbits around a Kerr black hole
- Precession resonances in hierarchical triple systems
- Binary mergers in strong gravity background of Kerr black hole
- Effective two-body approach to the hierarchical three-body problem
- Blackhole Mergers Through Evection Resonances
- Fast inspirals and the treatment of orbital resonances
- A binary system in the S cluster close to the supermassive black hole Sagittarius A*
- Effective two-body approach to the hierarchical three-body problem: quadrupole to 1PN
- Dynamics of Binary System around Supermassive Black Hole
- Relativistic model of binary extreme-mass-ratio inspiral systems and their gravitational radiation