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    Hybrid black hole- and disk-driven jets: Steady axisymmetric ideal MHD modeling

    Yu Song1, Yehui Hou2,*, Lei Huang3,4, and Bin Chen5,1,6,†

    • 1School of Physics, Peking University, No. 5 Yiheyuan Road, Beijing 100871, People’s Republic of China
    • 2Tsung-Dao Lee Institute, Shanghai Jiao-Tong University, Shanghai, 201210, People’s Republic of China
    • 3Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai, 200030, People’s Republic of China
    • 4State Key Laboratory of Radio Astronomy and Technology, A20 Datun Road, Chaoyang District, Beijing, 100101, People’s Republic of China
    • 5Institute of Fundamental Physics and Quantum Technology, and School of Physical Science and Technology, Ningbo University, Ningbo, Zhejiang 315211, China
    • 6Center for High Energy Physics, Peking University, No. 5 Yiheyuan Road, Beijing 100871, People’s Republic of China

    • *Contact author: yehuihou@sjtu.edu.cn
    • †Contact author: chenbin1@nbu.edu.cn

    Phys. Rev. D 113, 043054 – Published 24 February, 2026

    DOI: https://doi.org/10.1103/kv5f-kwzm

    Abstract

    Improved observations of relativistic jets have underscored the need for tractable theoretical models. Here we develop a semianalytical hybrid jet model that combines black hole-driven and disk-driven components within steady, axisymmetric, ideal general relativistic magnetohydrodynamics framework. We derive a criterion for the launching sites of cold outflows, introducing a new constraint on the magnetic field configuration threading a thin disk. Using the Bernoulli equation and critical-point analysis under Michel’s minimal-energy ansatz, we obtain flow solutions along different classes of field lines. The hybrid model shows that discontinuities in field-line angular velocity produce pronounced velocity shear and density jumps at the interface between the two jet components, together with localized enhancements that may account for observed limb brightening.

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