Impact of a Spinning Supermassive Black Hole on the Orbit and Gravitational Waves of a Nearby Compact Binary

Abstract

Recent theoretical studies suggest that stellar-mass binary black holes (BBHs) would merge more efficiently due to the Kozai-Lidov mechanism if these binaries form in the vicinity of supermassive black holes (SMBHs). Since SMBHs are likely rotating rapidly, we continue our earlier study on the generalization of the Kozai-Lidov formalism to include the spin of the SMBH and study the evolution of a nearby BBH. We find that the eccentricity and orbital inclination of the BBH is significantly affected, because the spin (i) forces the orbital plane of the center-of-mass of the BBH around the SMBH to precess (the Lense-Thirring effect) and (ii) imposes an additional gravitomagnetic force on the BBH. As a result, the merger time of the BBH could be significantly different. We calculate the waveform from the BBH in one representative example and study its detectability by a milli-Hertz GW detector, such as the Laser Interferometer Space Antenna (LISA). We find that the signal is distinguishable from that in the case without spin. Our results imply that the BBHs in the LISA band could potentially be used to probe the spin of the SMBHs in galaxy centers.

arXiv comment8 pages, 9 figures, comments welcome

References in corpus (49)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Binary Black Hole Mergers in the first Advanced LIGO Observing Run
• The Eccentric Kozai-Lidov Effect and Its Applications
• Astrophysical Implications of the Binary Black-Hole Merger GW150914
• The construction and use of LISA sensitivity curves
• Detection, Measurement and Gravitational Radiation
• LISA Capture Sources: Approximate Waveforms, Signal-to-Noise Ratios, and Parameter Estimation Accuracy
• Measuring gravitational waves from binary black hole coalescences: I. Signal to noise for inspiral, merger, and ringdown
• Rapid and Bright Stellar-mass Binary Black Hole Mergers in Active Galactic Nuclei
• Assisted Inspirals of Stellar Mass Black Holes Embedded in AGN Disks: Solving the "Final AU Problem"
• Measuring Black Hole Spin using X-ray Reflection Spectroscopy
• Secular evolution of compact binaries near massive black holes: gravitational wave sources and other exotica
• Secular Dynamics in Hierarchical Three-Body Systems
• Estimating spinning binary parameters and testing alternative theories of gravity with LISA
• On the Eccentricity Distribution of Coalescing Black Hole Binaries Driven by the Kozai Mechanism in Globular Clusters
• Model Waveform Accuracy Standards for Gravitational Wave Data Analysis
• On stellar-mass black hole mergers in AGN disks detectable with LIGO
• Black Hole Mergers in Galactic Nuclei Induced by the Eccentric Kozai-Lidov Effect
• Black hole and neutron star mergers in galactic nuclei
• Orbital Migration of Interacting Stellar Mass Black Holes in Disks around Supermassive Black Holes
• Merging Binaries in the Galactic Center: The eccentric Kozai-Lidov mechanism with stellar evolution
• The Spin of Supermassive Black Holes
• Greatly enhanced merger rates of compact-object binaries in non-spherical nuclear star clusters
• Mergers of Stellar-Mass Black Holes in Nuclear Star Clusters
• eLISA eccentricity measurements as tracers of binary black hole formation
• The Role of the Kozai-Lidov Mechanism in Black Hole Binary Mergers in Galactic Centers
• Gravitational wave sources from inspiralling globular clusters in the Galactic Centre and similar environments
• Probing stellar binary black hole formation in galactic nuclei via the imprint of their center of mass acceleration on their gravitational wave signal
• Detecting triple systems with gravitational wave observations
• The Fate of Binaries in the Galactic Center: The Mundane and the Exotic
• Visualizing Spacetime Curvature via Frame-Drag Vortexes and Tidal Tendexes I. General Theory and Weak-Gravity Applications
• Highly Eccentric Kozai Mechanism and Gravitational-Wave Observation for Neutron Star Binaries
• Mass-redshift Degeneracy for Gravitational-wave Sources in the Vicinity of a Supermassive Black Hole
• A New Type of Extreme-mass-ratio Inspirals Produced by Tidal Capture of Binary Black Holes
• Detecting Supermassive Black Hole-Induced Binary Eccentricity Oscillations with LISA
• Black Hole Binaries in Galactic Nuclei and Gravitational Wave Sources
• Orbital flips in hierarchical triple systems: relativistic effects and third-body effects to hexadecapole order
• Detecting the Beaming Effect of Gravitational Waves
• Gravitational-wave merging events from the dynamics of stellar mass binary black holes around the massive black hole in a galactic nucleus
• Secular evolution of compact binaries revolving around a spinning massive black hole
• Intermediate-Mass Ratio Inspirals in Galactic Nuclei

Cited by in corpus (23)

• Detectable environmental effects in GW190521-like black-hole binaries with LISA
• Quiescent and active galactic nuclei as factories of merging compact objects in the era of gravitational-wave astronomy
• Gravitational Waves from Hierarchical Triple Systems with Kozai-Lidov Oscillation
• Direct determination of supermassive black hole properties with gravitational-wave radiation from surrounding stellar-mass black hole binaries
• Precession resonances in hierarchical triple systems
• Binary mergers in strong gravity background of Kerr black hole
• Detecting gravitational lensing in hierarchical triples in galactic nuclei with space-borne gravitational-wave observatories
• The Eccentric and Accelerating Stellar Binary Black Hole Mergers in Galactic Nuclei: Observing in Ground and Space Gravitational Wave Observatories
• Effective two-body approach to the hierarchical three-body problem
• Fake massive black holes in the milli-Hertz gravitational-wave band
• Effective two-body approach to the hierarchical three-body problem: quadrupole to 1PN
• The three body first post-Newtonian effects on the secular dynamics of a compact binary near a spinning supermassive black hole
• On Detecting Nearby Nano-Hertz Gravitational Wave Sources via Pulsar Timing Arrays
• Probing the Spins of Supermassive Black Holes with Gravitational Waves from Surrounding Compact Binaries
• Post-Newtonian Kozai-Lidov Mechanism and its Effect on Cumulative Shift of Periastron Time of Binary Pulsar
• Inferring Interference: Identifying a Perturbing Tertiary with Eccentric Gravitational Wave Burst Timing
• General Relativistic Effects on Hill Stability of Multi-Body Systems I: Stability of Three-Body Systems Containing a Massive Black Hole
• Parameter Distributions of Binary Black Hole Mergers Near Supermassive Black Holes as Seen by Advanced Gravitational Wave Detectors
• Detectability of dark matter density distribution via gravitational waves from binary black holes in the Galactic center
• A pipeline to search for signatures of line-of-sight acceleration in gravitational wave signals produced by compact binary coalescences
• The influence of spin in black hole triplets
• Constraining Kerr supermassive black hole properties using gravitational waves from inspiraling stellar-mass binary black holes
• Tests for the existence of horizon through gravitational waves from a small binary in the vicinity of a massive object