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Second-order self-force calculation of the gravitational binding energy in compact binaries

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arxiv 1908.07419 v3 pith:KVOIO3TE submitted 2019-08-20 gr-qc

classification gr-qc
keywords self-forcesecond-orderbinariesbindingeffectsenergygravitationalaccurate
verification ladder T0 review T1 audit T2 compute T3 formal
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Self-force theory is the leading method of modeling extreme-mass-ratio inspirals (EMRIs), key sources for the gravitational-wave detector LISA. It is well known that for an accurate EMRI model, second-order self-force effects are critical, but calculations of these effects have been beset by obstacles. In this letter we present the first implementation of a complete scheme for second-order self-force computations, specialized to the case of quasicircular orbits about a Schwarzschild black hole. As a demonstration, we calculate the gravitational binding energy of these binaries.

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Cited by 9 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. From the confluent Heun equation to a new factorized and resummed gravitational waveform for circularized, nonspinning, compact binaries

    gr-qc 2026-02 conditional novelty 7.0 of 10

    A new resummation absorbs all test-mass logarithms and transcendental numbers into closed-form factors, leaving rational polynomial waveform corrections up to 10PN.

  3. 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.

  4. 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.

  5. 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.

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    gr-qc 2026-03 conditional novelty 6.0 of 10

    Analytic formulas for the orbit-averaged gravitational-wave fluxes of energy, angular momentum, and Carter constant for generic bound Kerr orbits are extended to 6PN order and O(e^16) in eccentricity, with numerical T...

  7. Extreme mass-ratio inspiral within an ultralight scalar cloud I. Scalar radiation

    gr-qc 2025-07 conditional novelty 6.0 of 10

    Scalar radiation from an EMRI in an ultralight scalar cloud is computed semi-analytically, showing dipole clouds decelerate and quadrupole clouds accelerate the inspiral, with up to about 100 rad dephasing after 18 months.

  8. Topological Stars and scalar wave equation: Exact resummation of the renormalized angular momentum in the eikonal limit

    gr-qc 2025-06 conditional novelty 6.0 of 10

    For Topological Stars, the eikonal-limit renormalized angular momentum is expressed as hypergeometric functions tied to the null geodesic radial action, generalizing the Schwarzschild resummation.

  9. Sequential simulation-based inference for extreme mass ratio inspirals

    gr-qc 2025-05 conditional novelty 6.0 of 10

    Sequential simulation-based inference with truncated marginal neural ratio estimation shrinks the 11-parameter search volume for simulated non-spinning extreme-mass-ratio inspirals by factors of 1e6 to 1e7 and recover...

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