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Worldtube puncture scheme for first- and second-order self-force calculations in the Fourier domain

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arxiv 2401.00455 v2 pith:GZ5VGUD3 submitted 2023-12-31 gr-qc

Jeremy Miller , Benjamin Leather , Adam Pound , Niels Warburton This is my paper · ORCID
classification gr-qc
keywords domainmethodsecond-orderderivativesdifferentfourierregionsself-force
verification ladder T0 review T1 audit T2 compute T3 formal
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Second-order gravitational self-force theory has recently led to the breakthrough calculation of ``first post-adiabatic'' (1PA) compact-binary waveforms [Phys. Rev. Lett. 130, 241402 (2023)]. The computations underlying those waveforms depend on a method of solving the perturbative second-order Einstein equation on a Schwarzschild background in the Fourier domain. In this paper we present that method, which involves dividing the domain into several regions. Different regions utilize different time slicings and allow for the use of ``punctures'' to tame sources and enforce physical boundary conditions. We demonstrate the method for Lorenz-gauge and Teukolsky equations in the relatively simple case of calculating parametric derivatives (``slow time derivatives'') of first-order fields, which are an essential input at second order.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. High-Post-Newtonian-Order Dynamics Induced by Tail-of-Tail Interactions: The Non-Geodesic Terms

    gr-qc 2026-08 conditional novelty 7.0 of 10

    The authors compute tail-of-tail contributions to the effective-one-body Q potential through p_r^12 and derive new second-order self-force redshift predictions for eccentric binaries.

  2. Post-adiabatic dynamics and waveform generation in self-force theory: an invariant pseudo-Hamiltonian framework

    gr-qc 2025-07 conditional novelty 7.0 of 10

    A pseudo-Hamiltonian reformulation of 1PA self-force dynamics yields local, invariant action-angle evolution equations and an embedded conservative Hamiltonian whose on-shell energy equals the first-law binding energy.

  3. Self-force framework for merger-ringdown waveforms

    gr-qc 2025-06 conditional novelty 6.0 of 10

    A phase-space self-force framework is extended through the final plunge to produce merger-ringdown waveforms at leading geodesic order, with stationary-phase and quasinormal-mode approximations both failing near the p...

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