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Absorption and Scattering Cross Section of Regular Black Holes

DOI: 10.1155/2014/231727

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By using the partial wave method, we investigate the absorption of massless scalar wave from regular black hole. We numerically carry out the absorption cross section and find that the larger angular momentum quantum number is, the smaller the corresponding maximum value of partial absorption cross section is. Comparing with Schwarzschild case, the absorption cross section of regular black holes is strengthened in both low and high frequency regions, and the absorption cross section oscillates around the geometric optical value in the high frequency region. Generally speaking, the scattering flux is strengthened and its scattering width becomes narrower in the forward direction. There are obvious contrast of scattering properties of different type of regular black hole. 1. Introduction Over the last four decades, the physics of particle scattering from different kinds of black holes was one of the most active topics of strong gravitational fields. Apart from the quasinormal modes which, in principle, can be identified as the poles of the corresponding black hole scattering matrix, the behavior of the cross section with respect to the scattering angle is one of the most interesting features in this area. The key issues around which the physics of black hole scattering centers are related to phenomena such as glory, orbiting, rainbow and super-radiant scattering. Scattering by black holes is of fundamental interest in both black hole physics and scattering theory. The presence of black holes can be inferred only through indirect methods. One of the most useful and efficient ways to study the properties of black holes is by scattering matter waves off them. The study of absorption of waves and particles by black holes and by analogous higher-dimensional objects has received considerable attention, because this topic is directly relevant to numerous fundamental aspects of classical and quantum black hole physics which could permit us to progress in our understanding of spacetime properties (see, e.g., [1–12] and the references therein). By using a numerical method, Okawa et al. [13] show that in a scattering of two black holes in the 5-dimensional spacetime, a visible domain, whose curvature radius is much shorter than the Planck length, can be formed. Décanini et al. [14] show that the fluctuations of the high-energy absorption cross section are totally and very simply described from the properties of the waves trapped near the photon sphere. Batic et al. [15] show that the case of orbiting scattering of massless spin 0, 1, and 2 particles from

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