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Self-force effects in post-Minkowskian scattering
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We revisit the old problem of the self-force on a particle moving in a weak-field spacetime in the context of renewed interest in two-body gravitational scattering. We analytically calculate the scalar, electromagnetic, and gravitational self-force on a particle moving on a straight-line trajectory at a large distance from a Newtonian star, and use these results to find the associated correction to its motion. In the gravitational case we must also include the matter-mediated force, which acts at the same perturbative order as the gravitational self-force. We further augment the gravitational results with geodesic calculations at second order in the central body mass to determine the full, explicit solution to the two-body gravitational scattering problem at second post-Minkowskian order (2PM). We calculate the momentum transfer (which reproduces Westpfahl's old result), the change in mechanical angular momentum (which matches the radiative flux recently computed by Damour), and the change in mechanical mass moment (the time-space components of the angular momentum tensor), which has not previously appeared. Besides the new 2PM results of explicit trajectories and all conserved quantities, this work clarifies the role of gravitational self-force in PM scattering theory and provides a foundation for higher-order calculations.
Forward citations
Cited by 6 Pith papers
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Spinning the Probe in Kerr with WQFT
Using worldline quantum field theory, the authors derive the impulse and spin kick for a spinning probe scattering in Kerr spacetime through seventh physical post-Minkowskian order.
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Conservative Black Hole Scattering at Fifth Post-Minkowskian and Second Self-Force Order
The conservative black-hole scattering angle at fifth post-Minkowskian and second self-force order is computed in terms of K3 periods, but contains a coefficient fixed only by an ad hoc 'γ-3' prescription.
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Gravitational Bremsstrahlung in Black-Hole Scattering at $\mathcal{O}(G^3)$: Quadratic-in-Spin Effects
First computation of the O(G^3 S^2) momentum-space gravitational waveform for two scattering spinning black holes, plus the leading three-body spinning waveform.
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Spinning bodies in general relativity from bosonic worldline oscillators
A bosonic-oscillator worldline action for spinning compact bodies in general relativity is constructed, and it reproduces known post-Minkowskian scattering results while remaining valid to all orders in spin.
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On-shell approach to scalar hair in spinning binaries
Scalar hair on spinning compact objects is described by a conformal coupling of matter to a massless scalar, yielding matching waveforms and energy loss formulas for scalar-tensor gravity binaries.
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Electromagnetic Scoot for Dyons Revisited
Dyon (or electric-magnetic) scattering retains a 1PM angular-momentum scoot on both constant-time and hyperboloidal slices, balanced by fields, while the mass-moment scoot vanishes on hyperboloids as in the pure-elect...
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