Scattering of massless bosonic fields by Kerr black holes: On-axis incidence

Abstract

We study the scattering of monochromatic bosonic plane waves impinging upon a rotating black hole, in the special case that the direction of incidence is aligned with the spin axis. We present accurate numerical results for electromagnetic Kerr scattering cross sections for the first time, and give a unified picture of the Kerr scattering for all massless bosonic fields. * luizcsleite@ufpa.br † s.dolan@sheffield.ac.uk ‡ crispino@ufpa.br arXiv:1910.07666v1 [gr-qc]

Scattering of massless scalar field by charged dilatonic black holes

“…Given a q, we obtain b g by numerically solving the equation (b) = π , where (b) is given in Eq. (8). Then, it is straightforward to obtain |db/dθ | θ=π via the finite difference formula.…”

“…This subject attracts increasing attentions due to its relevance with many interesting phenomena, such as glory, rainbow and superradiant scatterings [5][6][7]. The scattering of scalar (s = 0), Dirac (s = 1/2), electromagnetic (s = 1) and gravitational (s = 2) waves by black holes in GR have been thoroughly explored [8][9][10][11][12][13][14][15][16]. These studies have been extended to scattering of plane waves by black holes beyond GR [17][18][19][20][21] and ultra-compact objects [22][23][24][25][26][27].…”

Scattering and absorption of a scalar field impinging on a charged black hole in the Einstein-Maxwell-dilaton theory

“…This requires to employ the so-called partial wave method for intermediate wavelengths (λ r h ). Hence, we consider an incoming wave from infinity, which is partially transmitted through the event horizon and partially scattered to infinity [30], [35]. To study that we write down the Klein-Gordon equation of a massless scalar field propating on the dilatonic black hole background,…”

“…Since these seminal works, the typical pattern produced by the scattering of wave with a black hole has been used as a powerful tool to extract properties of black hole. The scattering/absorption process of wave by a black hole was examined in the case a canonical acoustic black hole [31], a charged black hole [32], [33], dirty black holes [34], Kerr black holes [35], charged dilatonic black hole [36], and for black hole in Hovara-Lifshitz gravity [37]. The absorption of s-waves by a remanent black hole within in metric-affine gravity was explored by Delhom et al [38].…”

On-axis tidal forces in Kerr spacetime

“…The Kerr spacetime is one example of such rotating solutions, which describes the geometry around electrically uncharged and rotating BHs. These fully collapsed structures with non-vanishing angular momentum can be associated to many interesting features in absorption [2][3][4][5][6][7] and scattering [6,8,9] of fields and superradiant instabilities [10,11].…”