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Scattering of massless scalar field by charged dilatonic black holes

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arxiv 2006.01388 v2 pith:OU4SUSC7 submitted 2020-06-02 gr-qc

Scattering of massless scalar field by charged dilatonic black holes

classification gr-qc
keywords blackscatteringwaveholescalarcrossdilatonicfield
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Wave propagations in the presence of black holes is a significant problem both in theoretical and observational aspects, especially after the discovery of gravitational wave and confirmation of black holes. We study the scattering of massless scalar field by a charged dilatonic black hole in frame of full wave theory. We apply partial wave method to obtain the scattering cross sections of the scalar field, and investigate how the black hole charge affects the scalar scattering cross sections. Furthermore, we investigate the Regge pole approach of the scattering cross section of the dilatonic black hole. We find that in order to obtain results at the same precision, we need more Regge poles as the black hole charge increases. We compare the results in the full wave theory and results in the classical geodesic scattering and the semi-classical glory approximations, and demonstrate the improvements and power of our approach.

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