Tidal deformations of a binary system induced by an external Kerr black hole

Abstract

The dynamics of a binary system moving in the background of a black hole is affected by tidal forces. In this work, for the Kerr black hole, we derive the electric and magnetic tidal moments at quadrupole order, where the latter are computed for the first time in full generality. We make use of these moments in the scenario of a hierarchical triple system made of a Kerr black hole and an extreme-mass ratio binary system consisting of a Schwarzschild black hole and a test particle. We study how the secular dynamics of the test particle in the binary system is distorted by the presence of tidal forces from a much larger Kerr black hole. Our treatment includes strong gravitational effects beyond the post-Newtonian approximation both for the binary system and for the tidal forces since the binary system is allowed to be close to the event horizon of the Kerr black hole. We compute the shifts in the physical quantities for the secular dynamics of the test particle and show that they are gauge-invariant. In particular, we apply our formalism to the innermost stable circular orbit for the test particle and to the case of the photon sphere. Our results are relevant for the astrophysical situation in which the binary system is in the vicinity of a supermassive black hole.

v1: 27 pages, 3 figures; v2: minor changes, matches published version in Phys. Rev. D

References in corpus (24)

• Observation of gravitational waves from two neutron star-black hole coalescences
• Properties and astrophysical implications of the 150 Msun binary black hole merger GW190521
• Can environmental effects spoil precision gravitational-wave astrophysics?
• The TianQin project: current progress on science and technology
• Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
• Gravitational wave snapshots of generic extreme mass ratio inspirals
• Gravitational waves as a probe of dark matter mini-spikes
• Measuring the dark matter environments of black hole binaries with gravitational waves
• Tidal deformation of a slowly rotating black hole
• Gravitational Self-Force Correction to the Innermost Stable Circular Equatorial Orbit of a Kerr Black Hole
• The Effect of Massive Perturbers on Extreme Mass-Ratio Inspiral Waveforms
• Tidal deformability of dressed black holes and tests of ultralight bosons in extended mass ranges
• The last migration trap of compact objects in AGN accretion disc
• Modelling frequency-dependent tidal deformability for environmental black-hole mergers
• The Astrophysics of Resonant Orbits in the Kerr Metric
• Three-body equations of motion in successive post-Newtonian approximations
• Evolution of Retrograde Orbiters in an AGN Disk
• Higher-order effects in the dynamics of hierarchical triple systems. Quadrupole-squared terms
• Gravitational waveforms for 2- and 3-body gravitating systems
• Effective two-body approach to the hierarchical three-body problem
• About gravitational-wave generation by a three-body system
• Binaries Wandering Around Supermassive Black Holes Due To Gravito-electromagnetism
• Effective two-body approach to the hierarchical three-body problem: quadrupole to 1PN
• Geodesic structure and quasinormal modes of a tidally perturbed spacetime

Cited by in corpus (13)

• Binary mergers in strong gravity background of Kerr black hole
• Testing gravity with Extreme-Mass-Ratio Inspirals
• Tidal forces in parametrized spacetime: Rezzolla-Zhidenko parametrization
• Dynamics of Binary System around Supermassive Black Hole
• Strong-gravity precession resonances for binary systems orbiting a Schwarzschild black hole
• Relativistic model of binary extreme-mass-ratio inspiral systems and their gravitational radiation
• Tidal Forces in Kerr-AdS and Grey Galaxies
• Response of a Kerr black hole to a generic tidal perturbation
• Tidal forces around the Letelier-Alencar cloud of strings black hole
• Observable signature of magnetic tidal coupling in hierarchical triple systems
• Generalized Perturbed Kepler Problem: Gravitational Wave Imprints from Eccentric Compact Binaries
• Gravitational signatures beyond Newton: exploring hierarchical three-body dynamics
• Tidal perturbations of an extreme mass ratio inspiral around a Kerr black hole