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Article Dans Une Revue Phys.Rev.D Année : 2019

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

Résumé

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 99, 104079 (2019)PRVDAQ2470-001010.1103/PhysRevD.99.104079], 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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Dates et versions

hal-02166557 , version 1 (05-09-2019)

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Antoine Folacci, Mohamed Ould El Hadj. Regge pole description of scattering of gravitational waves by a Schwarzschild black hole. Phys.Rev.D, 2019, 100 (6), pp.064009. ⟨10.1103/PhysRevD.100.064009⟩. ⟨hal-02166557⟩

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