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Self-force via a Green's function decomposition

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arxiv gr-qc/0202086 v3 pith:7YWTSNYF submitted 2002-02-25 gr-qc

classification gr-qc
keywords fieldgravitationalparticleeffectsforcepartselfbehavior
verification ladder T0 review T1 audit T2 compute T3 formal

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The gravitational field of a particle of small mass \mu moving through curved spacetime is naturally decomposed into two parts each of which satisfies the perturbed Einstein equations through O(\mu). One part is an inhomogeneous field which, near the particle, looks like the \mu/r field distorted by the local Riemann tensor; it does not depend on the behavior of the source in either the infinite past or future. The other part is a homogeneous field and includes the ``tail term''; it completely determines the self force effects of the particle interacting with its own gravitational field, including radiation reaction. Self force effects for scalar, electromagnetic and gravitational fields are all described in this manner.

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Cited by 10 Pith papers

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

  1. Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory

    hep-th 2025-12 accept novelty 8.0 of 10

    A shell-based EFT computes scalar Love numbers for Schwarzschild black holes through O(G^9) and conjectures an all-orders Riemann-zeta structure.

  2. Self-Forces as Nonlocal Probes of Gravastar Interiors

    gr-qc 2026-07 conditional novelty 7.0 of 10

    Static scalar and electric charges near a thin-shell gravastar experience self-forces different from those near a black hole, with analytic leading-order formulas.

  3. Quadrupole and quadratic-in-spin effects in quasicircular, spinning, asymmetric binaries

    gr-qc 2026-06 unverdicted novelty 7.0 of 10

    Calculates energy fluxes with quadratic-in-spin and quadrupole effects for small-mass-ratio spinning binaries in self-force theory, providing numerical data and sixth-order PN expansions.

  4. Black hole mergers beyond general relativity: a self-force approach

    gr-qc 2025-10 unverdicted novelty 7.0 of 10

    Self-force theory is extended to compute merger and ringdown waveforms in beyond-GR black hole binaries under the extreme mass-ratio approximation, with first calculations of self-force corrections to the merger waveform.

  5. 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.

  6. Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit

    gr-qc 2025-07 conditional novelty 7.0 of 10

    First-order metric perturbations and the generalized redshift invariant are computed for eccentric, precessing orbits in Kerr spacetime using four metric reconstruction methods, with open-source code provided.

  7. The significance of first post-adiabatic contributions for scalar charge measurements with intermediate and extreme mass ratio inspirals

    gr-qc 2026-07 accept novelty 6.5 of 10

    Neglecting 1PA gravitational self-force biases intrinsic EMRI parameters while scalar-charge inference remains robust; pure-GR templates produce large biases and underestimated errors on charged signals.

  8. The Magnusian generator for dissipative systems and application to leading 2.5PN radiation-reaction dynamics

    gr-qc 2026-07 accept novelty 6.0 of 10

    The Magnusian is generalized via the in-in formalism to dissipative and nonlocal dynamics, yielding an explicit one-period generator for Newtonian binaries with 2.5PN radiation reaction that agrees with numerics.

  9. Self-force calculations with numerical relativity methods

    gr-qc 2026-06 unverdicted novelty 6.0 of 10

    A new numerical relativity-inspired method achieves exponential convergence for scalar self-force calculations in Kerr spacetime on circular equatorial orbits up to near-extremal spins and the ISCO.

  10. Conservative and dissipative sectors in a nonlinear scalar model for the gravitational self-force problem

    gr-qc 2026-05 unverdicted novelty 6.0 of 10

    Multiple Hamiltonian definitions of the conservative second-order self-force are identified in a nonlinear scalar toy model, restricted to unbound scattering trajectories.

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