Hamilton-Jacobi equation for spinning particles near black holes
arXiv:1903.03651 · doi:10.1103/PhysRevD.100.104030
Abstract
A compact stellar-mass object inspiralling onto a massive black hole deviates from geodesic motion due to radiation-reaction forces as well as finite-size effects. Such post-geodesic deviations need to be included with sufficient precision into wave-form models for the upcoming space-based gravitational-wave detector LISA. I present the formulation and solution of the Hamilton-Jacobi equation of geodesics near Kerr black holes perturbed by the so-called spin-curvature coupling, the leading order finite-size effect. In return, this solution allows to compute a number of observables such as the turning points of the orbits as well as the fundamental frequencies of motion. This result provides one of the necessary ingredients for waveform models for LISA and an important contribution useful for the relativistic two-body problem in general.
Published in Phys. Rev. D
References in corpus (66)
- Laser Interferometer Space Antenna
- The motion of point particles in curved spacetime
- Self-force and radiation reaction in general relativity
- Self-force via a Green's function decomposition
- Perturbative Approach to an orbital evolution around a Supermassive black hole
- Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
- SUSY in the sky
- Scattering of two spinning black holes in post-Minkowskian gravity, to all orders in spin, and effective-one-body mappings
- A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry
- Celestial mechanics in Kerr spacetime
- Analytical solutions of bound timelike geodesic orbits in Kerr spacetime
- Chaos in Schwarzschild Spacetime : The Motion of a Spinning Particle
- Analytical solution of the geodesic equation in Kerr-(anti) de Sitter space-times
- Gravitational radiation reaction and inspiral waveforms in the adiabatic limit
- Rotating black hole orbit functionals in the frequency domain
- Transient resonances in the inspirals of point particles into black holes
- Gravitational waves from a spinning particle in circular orbits around a rotating black hole
- How to observe a non-Kerr spacetime
- Two approaches for the gravitational self force in black hole spacetime: Comparison of numerical results
- Analytic treatment of complete and incomplete geodesics in Taub-NUT space-times
- An observable signature of a background deviating from Kerr
- The adiabatic evolution of orbital parameters in the Kerr spacetime
- Gravitational self-torque and spin precession in compact binaries
- Level sets of the lapse function in static GR
- Motion of spinning test bodies in Kerr spacetime
- Probing black holes at low redshift using LISA EMRI observations
- Dynamics of Extended Spinning Masses in a Gravitational Field
- Influence of internal structure on the motion of test bodies in extreme mass ratio situations
- Spinning test-body orbiting around Schwarzschild black hole: circular dynamics and gravitational-wave fluxes
- Mechanics of extended masses in general relativity
- Canonical Hamiltonian for an extended test body in curved spacetime: To quadratic order in spin
- Evolution of small-mass-ratio binaries with a spinning secondary
- Center of mass, spin supplementary conditions, and the momentum of spinning particles
- Fast Self-forced Inspirals
- Importance of transient resonances in extreme-mass-ratio inspirals
- Spinning test-body orbiting around a Kerr black hole: circular dynamics and gravitational-wave fluxes
- Resonantly enhanced and diminished strong-field gravitational-wave fluxes
- Conditions for Sustained Orbital Resonances in Extreme Mass Ratio Inspirals
- The Astrophysics of Resonant Orbits in the Kerr Metric
- Self-Force in the Radiation Reaction Formula -- Adiabatic Approximation of a Metric Perturbation and an Orbit --
- The role of Killing-Yano tensors in supersymmetric mechanics on a curved manifold
- Gyroscopes orbiting black holes: A frequency-domain approach to precession and spin-curvature coupling for spinning bodies on generic Kerr orbits
- A census of transient orbital resonances encountered during binary inspiral
- Hamiltonians and canonical coordinates for spinning particles in curved space-time
- Relativistic orbits around spinning supermassive black holes. Secular evolution to 4.5 post-Newtonian order
- Importance of including small body spin effects in the modelling of extreme and intermediate mass-ratio inspirals
- Orbital resonances around Black holes
- Resonantly enhanced kicks from equatorial small mass-ratio inspirals
- Spin-orbit precession for eccentric black hole binaries at first order in the mass ratio
- Spin-orbit precession along eccentric orbits for extreme mass ratio black hole binaries and its effective-one-body transcription
- On Integrability of spinning particle motion in higher-dimensional black hole spacetimes
- Observables for bound orbital motion in axially symmetric space-times
- Fundamental frequencies and resonances from eccentric and precessing binary black hole inspirals
- Spin-geodesic deviations in the Schwarzschild spacetime
- Importance of including small body spin effects in the modelling of intermediate mass-ratio inspirals. II Accurate parameter extraction of strong sources using higher-order spin effects
- Comparing Hamiltonians of a spinning test particle for different tetrad fields
- Spin-geodesic deviations in the Kerr spacetime
- Self-force correction to geodetic spin precession in Kerr spacetime
- Gravitational self-force corrections to gyroscope precession along circular orbits in the Kerr spacetime
- Solving parallel transport equations in the higher-dimensional Kerr-NUT-(A)dS spacetimes
- Self-force gravitational waveforms for extreme and intermediate mass ratio inspirals. III: Spin-orbit coupling revisited
- Perturbation Method for Classical Spinning Particle Motion: I. Kerr Space-Time
- Gravitational waves from a spinning particle scattered by a relativistic star: Axial mode case
- SUSY in the Spacetime of Higher-Dimensional Rotating Black Holes
- Non-conservation of Carter in black hole spacetimes
- Exploiting the hidden symmetry of spinning black holes: conservation laws and numerical tests
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- The Science of the Einstein Telescope
- Black hole perturbation theory and gravitational self-force
- Extreme mass ratio inspirals with spinning secondary: a detailed study of equatorial circular motion
- Self-Force Calculations with a Spinning Secondary
- Growth of resonances and chaos for a spinning test particle in the Schwarzschild background
- Analytic solutions for parallel transport along generic bound geodesics in Kerr spacetime
- Probing the Nature of Black Holes: Deep in the mHz Gravitational-Wave Sky
- Extreme mass-ratio inspiral and waveforms for a spinning body into a Kerr black hole via osculating geodesics and near-identity transformations
- Boundary to bound dictionary for generic Kerr orbits
- Scattering and bound observables for spinning particles in Kerr spacetime with generic spin orientations
- Extreme Love in the SPA: constraining the tidal deformability of supermassive objects with extreme mass ratio inspirals and semi-analytical, frequency-domain waveforms
- Analytic solutions for the motion of spinning particles near spherically symmetric black holes and exotic compact objects
- Adiabatic equatorial inspirals of a spinning body into a Kerr black hole
- Complete set of quasi-conserved quantities for spinning particles around Kerr
- Spinning particles near Kerr black holes: Orbits and gravitational-wave fluxes through the Hamilton-Jacobi formalism
- Generalized Carter constant for quadrupolar test bodies in Kerr spacetime
- Fast inspirals and the treatment of orbital resonances
- Analytical effective-one-body formalism for extreme-mass-ratio inspirals: eccentric orbits
- Analytic Solution for the Motion of Spinning Particles in Kerr Space-Time
- Dynamics of spinning particles in Reissner-Nordström black hole exterior
- 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
- Circular equatorial orbits of extended bodies with spin-induced quadrupole around a Kerr black hole: Comparing spin-supplementary conditions
- Post-adiabatic waveform-generation framework for asymmetric precessing binaries
- Flux-balance laws for spinning bodies under the gravitational self-force
- Actions of spinning compact binaries: Spinning particle in Kerr matched to dynamics at 1.5 post-Newtonian order
- On the integrability of extended test body dynamics around black holes
- Second-order gravitational self-force in a highly regular gauge: Covariant and coordinate punctures
- Black hole photon ring beyond General Relativity: an integrable parametrization
- The spinning self-force EFT: 1SF waveform recursion relation and Compton scattering
- Secondary spins of extreme mass ratio inspirals: A probe to the formation channels
- Symplectic mechanics of relativistic spinning compact bodies II.: Canonical formalism in the Schwarzschild spacetime
- Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order
- Relativistic scattering of a fast spinning neutron star by a massive black hole
- Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary
- Analytical model of precessing binaries using post-Newtonian theory in the extreme mass-ratio limit I: General Formalism
- Conserved quantities and integrability for massless spinning particles in general relativity
- Gravitational wave templates from Extreme Mass Ratio Inspirals
- Spherical inspirals of spinning bodies into Kerr black holes
- Constants of motion in gravitational self-force theory
- Flux-balance laws in scalar self-force theory
- Revisiting the dynamics of a charged spinning body in curved spacetime
- Precisely computing bound orbits of spinning bodies around black holes I: General framework and results for nearly equatorial orbits
- Unexpected Symmetries of Kerr Black Hole Scattering
- Precisely computing bound orbits of spinning bodies around black holes II: Generic orbits
- Particles with precessing spin in Kerr spacetime: analytic solutions for eccentric orbits and homoclinic motion near the equatorial plane
- Spinning test particles in the spacetime of a global monopole
- Spin Hall effects and the localization of massless spinning particles