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Scattering of Long-Wavelength Gravitational Waves
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Scattering of Long-Wavelength Gravitational Waves
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We consider the scattering of a low-frequency gravitational wave by a massive compact body in vacuum. We apply partial-wave methods to compute amplitudes for the helicity-conserving and helicity-reversing contributions to the cross section, accurate to first order in $M\omega$. Contrary to previous claims, we find that the partial-wave cross section agrees with the cross section derived via perturbation-theory methods.
Forward citations
Cited by 5 Pith papers
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Gravitational wave scattering at $\mathcal{O}(G^4)$: Murua construction and elliptics
O(G^4) gravitational wave scattering amplitude computed in worldline QFT with Murua decomposition, matched to black hole perturbation theory to validate the formalism for Schwarzschild black holes.
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The gravitational Compton amplitude at third post-Minkowskian order
Gravitational Compton amplitude computed to third post-Minkowskian order via worldline EFT with infrared and forward divergences regulated to connect to black hole perturbation theory.
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Black Hole Response Theory and its Exact Shockwave Limit
Black hole response theory in WQFT exactly reproduces the Aichelburg-Sexl shockwave metric, geodesics, and the transfer matrix for gravitational-wave scattering off it via post-Minkowskian resummation.
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Polarization-dependent observational signatures of Weyl-coupled photons around a black hole
Weyl-coupled photons on Schwarzschild produce a polarization-split double shadow (62% edge separation at α/M²=0.75) and a parity-protected backward birefringence signal that vanishes at α=0.
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On-axis scattering of scalar fields by charged rotating black holes
Numerical on-axis scalar scattering cross sections by Kerr-Newman black holes match classical and semiclassical results.
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