Analytical effective-one-body formalism for extreme-mass-ratio inspirals: eccentric orbits
arXiv:2001.06763 · doi:10.1088/1572-9494/abfbe4
Abstract
Extreme-mass-ratio-inspiral (EMRI) is one of the most important sources for the future space-borne gravitational wave detectors. In such kind of systems, the compact objects usually orbit around the central supermassive black holes with complicated trajectories. Usually, the trajectory is approximated as geodesic of a test-particle in Kerr space-time, and the orbital evolution are simulated with the help of adiabatic approximation. However, this omits the influence of the compact object on the back ground. In the present paper, employing effective-one-body formalism, we analytically calculate out the trajectories of a compact object around a massive Kerr black hole in equatorial-eccentric orbit, and express the fundamental orbital frequencies in explicit forms. Our formalism include the first-order corrections of mass-ratio in the conservative orbital motion. Furthermore, we insert the mass-ratio related terms in the first post-Newtonian energy fluxes. By calculating the gravitational waves from the Teukolsky equations, we quantitatively reveal the influence of the mass of the compact object on the data analysis. We find that the shrinking of geodesic motion by taking the small objects as test particles may be not appropriate for the detection of EMRIs.
20 pages, 11 figures
References in corpus (16)
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
- GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
- An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
- Intermediate and Extreme Mass-Ratio Inspirals -- Astrophysics, Science Applications and Detection using LISA
- Toward faithful templates for non-spinning binary black holes using the effective-one-body approach
- Dynamical Tides in General Relativity: Effective Action and Effective-One-Body Hamiltonian
- On the final spin from the coalescence of two black holes
- A waveform model for eccentric binary black hole based on effective-one-body-numerical-relativity (EOBNR) formalism
- Adiabatic waveforms for extreme mass-ratio inspirals via multivoice decomposition in time and frequency
- Foundations of an effective-one-body model for coalescing binaries on eccentric orbits
- Extreme Mass-Ratio Inspirals in the Effective-One-Body Approach: Quasi-Circular, Equatorial Orbits around a Spinning Black Hole
- Calculation of radiation reaction effect on orbital parameters in Kerr spacetime
- Impact of the second order self-forces on the dephasing of the gravitational waves from quasi-circular extreme mass-ratio inspirals
- Excitation of high frequency voices from intermediate-mass-ratio inspirals with large eccentricity
- Fast Evolution and Waveform Generator for Extreme-Mass-Ratio Inspirals in Equatorial-Circular Orbits
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- Testing gravity with Extreme-Mass-Ratio Inspirals
- Influence of mass-ratio corrections in extreme-mass-ratio inspirals for testing general relativity
- Geometrized effective-one-body formalism for extreme-mass-ratio limits: Generic orbits
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