Absorption and scattering by a self-dual black hole

被引:10
作者
Anacleto, M. A. [1 ]
Brito, F. A. [1 ,2 ]
Campos, J. A. V. [2 ]
Passos, E. [1 ]
机构
[1] Univ Fed Campina Grande, Dept Fis, Caixa Postal 10071, BR-58429900 Campina Grande, Paraiba, Brazil
[2] Univ Fed Paraiba, Dept Fis, Caixa Postal 5008, BR-58051970 Joao Pessoa, Paraiba, Brazil
关键词
Self-dual black holes; Massless scalar wave scattering; Partial wave method; Absorption and scattering cross sections; EMISSION-SPECTRA; CROSS-SECTIONS; WAVES; UNIVERSALITY; FIELD; MASS;
D O I
10.1007/s10714-020-02756-1
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this paper we investigate the process of massless scalar wave scattering due to a self-dual black hole through the partial wave method. We calculate the phase shift analytically at the low energy limit and we show that the dominant term of the differential scattering cross section at the small angle limit is modified by the presence of parameters related to the polymeric function and minimum area of a self-dual black hole. We also find that the result for the absorption cross section is given by the event horizon area of the self-dual black hole at the low frequency limit. We also show that, contrarily to the case of a Schwarzschild black hole, the differential scattering/absorption cross section of a self-dual black hole is nonzero at the zero mass limit. In addition, we verify these results by numerically solving the radial equation for arbitrary frequencies.
引用
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页数:17
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