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Applying the effective-source approach to frequency-domain self-force calculations for eccentric orbits
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Applying the effective-source approach to frequency-domain self-force calculations for eccentric orbits
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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.
Forward citations
Cited by 2 Pith papers
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High-Post-Newtonian-Order Dynamics Induced by Tail-of-Tail Interactions: The Non-Geodesic Terms
New 5.5PN and 6.5PN tail-of-tail terms for the non-geodesic EOB potential and the second-order self-force redshift of eccentric binaries, through e^12 and p_r^12.
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Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary
Extended 1PA self-force waveforms for slowly spinning primary and precessing secondary, with re-summed 1PAT1R variant showing improved accuracy against NR for q ≳ 5 and |χ1| ≲ 0.1.
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