Absorption and scattering of a noncommutative black hole

E. Passos; F. A. Brito; J. A. V. Campos; M. A. Anacleto

Absorption and scattering of a noncommutative black hole

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arxiv 1907.13107 v2 pith:MMUPDTWI submitted 2019-07-29 hep-th gr-qc

M. A. Anacleto , F. A. Brito , J. A. V. Campos , E. Passos This is my paper · ORCID

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keywords scatteringabsorptionblackcrossholesectionlimitlow-frequency

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In this paper we focus on the partial wave method with the aim of exploring the scattering of massless scalar waves due to the noncommutative Schwarzschild black hole via Lorentzian smeared mass distribution. We determine the phase shift analytically in low-frequency limit and we show that the scattering and absorption cross section is modified. Specially, we show that in the low-frequency limit the scattering/absorption cross section has its value decreased when we increase the value of the non-commutativity parameter. In addition, we have confirmed this result by solving the problem numerically for arbitrary frequencies. Such modifications found for the scattering and absorption cross section present similarities with the Reissner-Nordstr\"{o}m black hole.

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The absorption cross section of massless scalar waves by a charged loop-quantum-gravity black hole increases with the quantum parameter in an intermediate frequency band, decreases with charge, and matches classical a...

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