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arXiv · 1906.01441

Regge pole description of scattering of gravitational waves by a Schwarzschild black hole

Antoine Folacci·Mohamed Ould El Hadj
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Abstract

We revisit the problem of plane monochromatic gravitational waves impinging upon a Schwarzschild black hole using complex angular momentum techniques. By extending our previous study concerning scalar and electromagnetic waves [A. Folacci and M. Ould El Hadj, Phys.\, Rev.\, D {\bf 99}, 104079, (2019), arXiv:1901.03965], we provide complex angular momentum representations and Regge pole approximations of the helicity-preserving and helicity-reversing scattering amplitudes and of the total differential scattering cross section. We show, in particular, that for high frequencies (i.e., in the short-wavelength regime), a small number of Regge poles permits us to describe numerically with very good agreement the black hole glory and the orbiting oscillations and we then provide a semiclassical approximation that unifies these two phenomena.

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Antoine Folacci, Mohamed Ould El Hadj. 2019-06-02. Regge pole description of scattering of gravitational waves by a Schwarzschild black hole. https://doi.org/10.1103/physrevd.100.064009

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