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Abstract
In this paper, we investigate the process of massless scalar wave scattering due to a noncommutative black hole with a global monopole through the partial wave method. We computed the cross section of differential scattering and absorption at the low frequency limit. We also calculated, at the high frequency limit, the absorption and the shadow radius by the null geodesic method. We showed that noncommutativity causes a reduction in the differential scattering/absorption cross section and shadow radius, while the presence of the global monopole has the effect of increasing the value of such quantities. In the limit of the null mass parameter, we verify that the cross section of differential scattering, absorption and shadow ray approach to a non-zero value proportional to a minimum mass.
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Details
1 Universidade Federal de Campina Grande, Departamento de Física, Campina Grande, Brazil (GRID:grid.411182.f) (ISNI:0000 0001 0169 5930)
2 Universidade Federal de Campina Grande, Departamento de Física, Campina Grande, Brazil (GRID:grid.411182.f) (ISNI:0000 0001 0169 5930); Universidade Federal da Paraíba, Departamento de Física, João Pessoa, Brazil (GRID:grid.411216.1) (ISNI:0000 0004 0397 5145)
3 Universidade Federal da Paraíba, Departamento de Física, João Pessoa, Brazil (GRID:grid.411216.1) (ISNI:0000 0004 0397 5145)