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
References
[1]
R. A. Matzner, “Scattering of massless scalar waves by a Schwarzschild ‘singularity’,” Journal of Mathematical Physics, vol. 9, no. 1, pp. 163–170, 1968.
[2]
B. Mashhoon, “Scattering of electromagnetic radiation from a black hole,” Physical Review D, vol. 7, no. 10, pp. 2807–2814, 1973.
[3]
A. A. Starobinskiǐ, “Amplification of waves during reflection from a rotating ‘black hole’,” Soviet Physics JETP, vol. 37, no. 1, pp. 28–32, 1973.
[4]
A. A. Starobinskiǐ and S. M. Churilov, “Amplification of electromagnetic and gravitational waves scattered by a rotating ‘black hole’,” Soviet Physics JETP, vol. 38, p. 1, 1974.
[5]
L. C. B. Crispino, A. Higuchi, and G. E. A. Matsas, “Quantization of the electromagnetic field outside static black holes and its application to low-energy phenomena,” Physical Review D, vol. 63, no. 12, Article ID 124008, 14 pages, 2001.
[6]
H. Liao, J. H. Chen, and Y. J. Wang, “Scattering of scalar wave from black hole in Ho？ava-Lifshitz gravity,” International Journal of Modern Physics D, vol. 21, Article ID 125004, 2012.
[7]
C. Doran, A. Lasenby, S. Dolan, and I. Hinder, “Fermion absorption cross section of a Schwarzschild black hole,” Physical Review D, vol. 71, no. 12, Article ID 063502, 21 pages, 2005.
[8]
J. Chen, H. Liao, and Y. Wang, “Absorption of massless scalar wave by high-dimensional Lovelock black hole,” Physics Letters B, vol. 705, no. 1-2, pp. 124–128, 2011.
[9]
V. P. Frolov and A. A. Shoom, “Scattering of circularly polarized light by a rotating black hole,” Physical Review D, vol. 86, no. 2, Article ID 024010, 17 pages, 2012.
[10]
J. H. Chen and Y. J. Wang, “Quasinormal modes of the scalar field in five-dimensional Lovelock black hole spacetime,” Chinese Physics B, vol. 19, no. 6, Article ID 060401, 2010.
[11]
L. Hao, J. H. Chen, and Y. J. Wang, “Absorption of a massless scalar wave from a Schwarzschild black hole surrounded by quintessence,” Chinese Physics B, vol. 21, no. 8, Article ID 080402, 2012.
[12]
T. Kobayashi and A. Tomimatsu, “Superradiant scattering of electromagnetic waves emitted from disk around Kerr black holes,” Physical Review D, vol. 82, Article ID 084026, 11 pages, 2010.
[13]
H. Okawa, K. Nakao, and M. Shibata, “Is super-Planckian physics visible? Scattering of black holes in 5 dimensions,” Physical Review D, vol. 83, Article ID 121501, 5 pages, 2011.
[14]
Y. Décanini, G. Esposito-Farèse, and A. Folacci, “Universality of high-energy absorption cross sections for black holes,” Physical Review D, vol. 83, Article ID 044032, 10 pages, 2011.
[15]
D. Batic, N. G. Kelkar, and M. Nowakowski, “Orbiting phenomena in black hole scattering,” Physical Review D, vol. 86, Article ID 104060, 9 pages, 2012.
[16]
J. M. Bardeen, “Non-singular general-relativistic gravitational collapse,” in Proceedings of International Conference GR5, p. 174, USSR, Tbilisi, Georgia, 1968.
[17]
E. Ayón-Beato and A. García, “The Bardeen model as a nonlinear magnetic monopole,” Physics Letters B, vol. 493, no. 1-2, pp. 149–152, 2000.
[18]
I. Dymnikova, “Regular electrically charged vacuum structures with de Sitter centre in nonlinear electrodynamics coupled to general relativity,” Classical and Quantum Gravity, vol. 21, no. 18, pp. 4417–4428, 2004.
[19]
E. Ayón-Beato and A. García, “Regular black hole in general relativity coupled to nonlinear electrodynamics,” Physical Review Letters, vol. 80, no. 23, pp. 5056–5059, 1998.
[20]
S. A. Hayward, “Formation and evaporation of nonsingular black holes,” Physical Review Letters, vol. 96, no. 3, Article ID 031103, 2006.
[21]
K. A. Bronnikov and J. C. Fabris, “Regular phantom black holes,” Physical Review Letters, vol. 96, no. 25, Article ID 251101, 4 pages, 2006.
[22]
K. A. Bronnikov, “Regular magnetic black holes and monopoles from nonlinear electrodynamics,” Physical Review D, vol. 63, no. 4, Article ID 044005, 6 pages, 2001.
[23]
W. Berej, J. Matyjasek, D. Tryniecki, and M. Woronowicz, “Regular black holes in quadratic gravity,” General Relativity and Gravitation, vol. 38, no. 5, pp. 885–906, 2006.
[24]
A. Borde, “Regular black holes and topology change,” Physical Review D, vol. 55, no. 12, pp. 7615–7617, 1997.
[25]
V. Ferrari and B. Mashhoon, “Oscillations of a black hole,” Physical Review Letters, vol. 52, no. 16, pp. 1361–1364, 1984.
[26]
S. Okuzumi and M.-A. Sakagami, “Quasinormal ringing of acoustic black holes in Laval nozzles: numerical simulations,” Physical Review D, vol. 76, no. 8, Article ID 084027, 2007.
[27]
Y. Décanini, G. Esposito-Farèse, and A. Folacci, “Universality of high-energy absorption cross sections for black holes,” Physical Review D, vol. 83, no. 4, Article ID 044032, 2011.
[28]
K. Gottfried and T.-M. Yan, Quantum Mechanics: Fundamentals, Springer, New York, NY, USA, 2nd edition, 2004.
[29]
S. R. Dolan, E. S. Oliveira, and L. C. B. Crispino, “Scattering of sound waves by a canonical acoustic hole,” Physical Review D, vol. 79, no. 6, Article ID 064014, 9 pages, 2009.
[30]
R. A. Matzner, C. Dewitte-Morette, B. Nelson, and T.-R. Zhang, “Glory scattering by black holes,” Physical Review D, vol. 31, no. 8, pp. 1869–1878, 1985.
[31]
L. C. B. Crispino, S. R. Dolan, and E. S. Oliveira, “Scattering of massless scalar waves by Reissner-Nordstr？m black holes,” Physical Review D, vol. 79, no. 6, Article ID 064022, 9 pages, 2009.
