Absorption and scattering of a noncommutative black hole
Abstract
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.
Keywords
Cite
@article{arxiv.1907.13107,
title = {Absorption and scattering of a noncommutative black hole},
author = {M. A. Anacleto and F. A. Brito and J. A. V. Campos and E. Passos},
journal= {arXiv preprint arXiv:1907.13107},
year = {2020}
}
Comments
10 pages, 7 figures. Version to appear in PLB. arXiv admin note: text overlap with arXiv:1701.08147