Applying the effective-source approach to frequency-domain self-force calculations for eccentric orbits
arXiv:2306.17221 · doi:10.1103/PhysRevD.108.084045
Abstract
Extreme mass-ratio inspirals (EMRIs) are expected to have considerable eccentricity when emitting gravitational waves (GWs) in the LISA band. Developing GW templates that remain phase accurate over these long inspirals requires the use of second-order self-force theory and practical second-order self-force calculations are now emerging for quasi-circular EMRIs. These calculations rely on effective-source regularization techniques in the frequency domain that presently are specialized to circular orbits. Here we make a first step towards more generic second-order calculations by extending the frequency domain effective-source approach to eccentric orbits. In order to overcome the slow convergence of the Fourier sum over radial modes, we develop a new extended effective-sources approach which builds upon the method of extended particular solutions. To demonstrate our new computational technique we apply it a toy scalar-field problem which is conceptually similar to the gravitational case.
23 pages, 16 figures; updated to reflect published version
References in corpus (20)
- 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
- GW190814: Gravitational Waves from the Coalescence of a 23 M Black Hole with a 2.6 M Compact Object
- GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
- Observation of gravitational waves from two neutron star-black hole coalescences
- Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
- Using LISA EMRI sources to test off-Kerr deviations in the geometry of massive black holes
- Gravitational-wave energy flux for compact binaries through second order in the mass ratio
- Research Update on Extreme-Mass-Ratio Inspirals
- A practical, covariant puncture for second-order self-force calculations
- Scalar-field perturbations from a particle orbiting a black hole using numerical evolution in 2+1 dimensions
- Scalar self-force on eccentric geodesics in Schwarzschild spacetime: a time-domain computation
- Evolution of small-mass-ratio binaries with a spinning secondary
- Frequency-domain calculation of the self force: the high-frequency problem and its resolution
- Gravitational perturbations and metric reconstruction: Method of extended homogeneous solutions applied to eccentric orbits on a Schwarzschild black hole
- Extreme mass ratio inspirals on the equatorial plane in the adiabatic order
- Lorenz gauge gravitational self-force calculations of eccentric binaries using a frequency domain procedure
- Self-force correction to the deflection angle in black-hole scattering: a scalar charge toy model
- Metric perturbations from eccentric orbits on a Schwarzschild black hole: I. Odd-parity Regge-Wheeler to Lorenz gauge transformation and two new methods to circumvent the Gibbs phenomenon
- Self force on a scalar charge in Kerr spacetime: inclined circular orbits
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- Gravitational radiation from a particle plunging into a Schwarzschild black hole: frequency-domain and semirelativistic analyses
- Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary
- Simple, efficient method of calculating the Detweiler-Whiting singular field to very high order
- Toward Second-Order Self-Force for Eccentric Extreme-Mass Ratio Inspirals in Schwarzschild Spacetime
- Constants of motion in gravitational self-force theory
- Generic effective sources for first-order in mass-ratio gravitational self-force calculations in Schwarzschild spacetime