Extreme Mass-Ratio Inspirals in the Effective-One-Body Approach: Quasi-Circular, Equatorial Orbits around a Spinning Black Hole
arXiv:1009.6013 · doi:10.1103/PhysRevD.83.044044
Abstract
We construct effective-one-body waveform models suitable for data analysis with LISA for extreme-mass ratio inspirals in quasi-circular, equatorial orbits about a spinning supermassive black hole. The accuracy of our model is established through comparisons against frequency-domain, Teukolsky-based waveforms in the radiative approximation. The calibration of eight high-order post-Newtonian parameters in the energy flux suffices to obtain a phase and fractional amplitude agreement of better than 1 radian and 1 % respectively over a period between 2 and 6 months depending on the system considered. This agreement translates into matches higher than 97 % over a period between 4 and 9 months, depending on the system. Better agreements can be obtained if a larger number of calibration parameters are included. Higher-order mass ratio terms in the effective-one-body Hamiltonian and radiation-reaction introduce phase corrections of at most 30 radians in a one year evolution. These corrections are usually one order of magnitude larger than those introduced by the spin of the small object in a one year evolution. These results suggest that the effective-one-body approach for extreme mass ratio inspirals is a good compromise between accuracy and computational price for LISA data analysis purposes.
21 pages, 8 figures, submitted to Phys. Rev. D
References in corpus (27)
- Intermediate and Extreme Mass-Ratio Inspirals -- Astrophysics, Science Applications and Detection using LISA
- Model Waveform Accuracy Standards for Gravitational Wave Data Analysis
- Starbursts near supermassive black holes: young stars in the Galactic Center, and gravitational waves in LISA band
- Using LISA EMRI sources to test off-Kerr deviations in the geometry of massive black holes
- Gravitational wave snapshots of generic extreme mass ratio inspirals
- Faithful Effective-One-Body waveforms of small-mass-ratio coalescing black-hole binaries
- Effective-one-body waveforms calibrated to numerical relativity simulations: coalescence of non-spinning, equal-mass black holes
- An improved analytical description of inspiralling and coalescing black-hole binaries
- On the final spin from the coalescence of two black holes
- LISA detections of massive black hole inspirals: parameter extraction errors due to inaccurate template waveforms
- Effective one body approach to the dynamics of two spinning black holes with next-to-leading order spin-orbit coupling
- Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole
- High-Order Post-Newtonian Fit of the Gravitational Self-Force for Circular Orbits in the Schwarzschild Geometry
- Observable Properties of Orbits in Exact Bumpy Spacetimes
- Extreme- and Intermediate-Mass Ratio Inspirals in Dynamical Chern-Simons Modified Gravity
- High-accuracy numerical simulation of black-hole binaries: Computation of the gravitational-wave energy flux and comparisons with post-Newtonian approximants
- Effective-one-body waveforms calibrated to numerical relativity simulations: coalescence of non-precessing, spinning, equal-mass black holes
- Precession effect of the gravitational self-force in a Schwarzschild spacetime and the effective one-body formalism
- Binary black hole merger in the extreme mass ratio limit
- Osculating orbits in Schwarzschild spacetime, with an application to extreme mass-ratio inspirals
- The influence of the hydrodynamic drag from an accretion torus on extreme mass-ratio inspirals
- How to observe a non-Kerr spacetime
- Binary black hole merger in the extreme-mass-ratio limit: a multipolar analysis
- Gravitational waves from Extreme Mass Ratio Inspirals in non-pure Kerr spacetimes
- Conservative self-force correction to the innermost stable circular orbit: comparison with multiple post-Newtonian-based methods
- (Sort of) Testing relativity with extreme mass ratio inspirals
- Can we Detect Intermediate Mass Ratio Inspirals?
Cited by in corpus (17)
- Bumpy Black Holes in Alternate Theories of Gravity
- Energetics of two-body Hamiltonians in post-Minkowskian gravity
- A new gravitational wave generation algorithm for particle perturbations of the Kerr spacetime
- Tidal deformation of a slowly rotating black hole
- Small mass plunging into a Kerr black hole: Anatomy of the inspiral-merger-ringdown waveforms
- Research Update on Extreme-Mass-Ratio Inspirals
- Binary black hole coalescence in the extreme-mass-ratio limit: testing and improving the effective-one-body multipolar waveform
- Gravitational Waves from a Particle in Circular Orbits around a Rotating Black Hole to the 11th Post-Newtonian Order
- Tidal heating and torquing of a Kerr black hole to next-to-leading order in the tidal coupling
- Gravitomagnetic response of an irrotational body to an applied tidal field
- Horizon-absorption effects in coalescing black-hole binaries: An effective-one-body study of the non-spinning case
- Extreme mass ratio inspirals on the equatorial plane in the adiabatic order
- Improved next-to-leading order tidal heating and torquing of a Kerr black hole
- Impact of the second order self-forces on the dephasing of the gravitational waves from quasi-circular extreme mass-ratio inspirals
- Accuracy of the post-Newtonian approximation. II. Optimal asymptotic expansion of the energy flux for quasicircular, extreme mass-ratio inspirals into a Kerr black hole
- Accurate modeling of intermediate-mass-ratio inspirals: Exploring the form of the self-force in the intermediate-mass-ratio regime
- Fast Evolution and Waveform Generator for Extreme-Mass-Ratio Inspirals in Equatorial-Circular Orbits