Computation of the quadrupolar bremsstrahlung waveform for two-body scattering at 3.5PN order, including frequency-domain evaluation up to O(G^4) and nonlinear memory effects.
Gravitational waves from compact binaries in post-Newtonian accurate hyperbolic orbits
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abstract
We derive from first principles third post-Newtonian (3PN) accurate Keplerian-type parametric solution to describe PN-accurate dynamics of non-spinning compact binaries in hyperbolic orbits. Orbital elements and functions of the parametric solution are obtained in terms of the conserved orbital energy and angular momentum in both Arnowitt-Deser-Misner type and modified harmonic coordinates. Elegant checks are provided that include a modified analytic continuation prescription to obtain our independent hyperbolic parametric solution from its eccentric version. A prescription to model gravitational wave polarization states for hyperbolic compact binaries experiencing 3.5PN-accurate orbital motion is presented that employs our 3PN-accurate parametric solution.
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Derives conservative potential and scattering angle for charged black holes in EMD theory via one-loop soft amplitudes, showing IR finiteness after Lippmann-Schwinger treatment and smooth reduction to GR.
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Quadrupolar bremsstrahlung waveform at the third-and-a-half post-Newtonian accuracy
Computation of the quadrupolar bremsstrahlung waveform for two-body scattering at 3.5PN order, including frequency-domain evaluation up to O(G^4) and nonlinear memory effects.
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Heterotic Footprints in Classical Gravity: PM dynamics from On-Shell soft amplitudes at one loop
Derives conservative potential and scattering angle for charged black holes in EMD theory via one-loop soft amplitudes, showing IR finiteness after Lippmann-Schwinger treatment and smooth reduction to GR.