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    Absorption and scattering of massless scalar waves by Frolov black holes

    Jining Tang, Yang Huang, and Hongsheng Zhang*

    • School of Physics and Technology, University of Jinan, 336 West Road of Nan Xinzhuang, Jinan, Shandong 250022, China

    • *Contact author: sps_zhanghs@ujn.edu.cn

    Phys. Rev. D 113, 084031 – Published 13 April, 2026

    DOI: https://doi.org/10.1103/641v-2931

    Abstract

    We study the absorption and scattering of massless scalar waves by Frolov black holes, a regular deformation of the Reissner-Nordström geometry. A null-geodesic analysis provides the photon-sphere radius and the critical impact parameters governing capture and glory scattering. Using a partial-wave approach, we compute total/partial absorption cross sections and differential scattering cross sections over a broad frequency range. When the absorption spectrum is rescaled by photon-sphere scales, the high-frequency oscillations exhibit a pronounced data collapse in the variables σ^=σabs/σgeo and x=ω/Ωc, highlighting photon-sphere control of the absorption fine structure. We clarify the parameter dependence under the horizon-radius normalization and relate the apparent trends to the variation of the dimensionless mass across parameter space. Finally, comparing Frolov, Reissner-Nordström, and Hayward black holes with matched critical or glory impact parameters, we find that their absorption and scattering patterns can become remarkably close, indicating that in the intermediate-to-high frequency regime the dominant signatures are largely governed by the unstable photon orbit, while core effects enter as subleading corrections.

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