For massless scalar-mediated scattering, the entire late-time and early-time expansion of the scalar waveform is determined by the particles' asymptotic momenta and charges, with an explicit all-order formula for two-body scattering.
Gravitational Wave Tails from Soft Theorem: A Short Review
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abstract
If a set of massive objects collide in space and the fragments disperse, possibly forming black holes, then this process will emit gravitational waves. Computing the detailed gravitational wave-form associated with this process is a complicated problem, not only due to the non-linearity of gravity but also due to the fact that during the collision and subsequent fragmentation the objects could undergo complicated non-gravitational interactions. Nevertheless the classical soft graviton theorem determines the power law fall-off of the wave-form at late and early times, including logarithmic corrections, in terms of only the momenta of the incoming and outgoing objects without any reference to what transpired during the collision. In this short review I shall explain the results and very briefly outline the derivation of these results.
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Waveform, memory and classical soft scalar theorems
For massless scalar-mediated scattering, the entire late-time and early-time expansion of the scalar waveform is determined by the particles' asymptotic momenta and charges, with an explicit all-order formula for two-body scattering.