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    Semianalytical study on polarized images of a black hole due to frame dragging

    Xinyu Wang1,2, Songbai Chen3,4, Minyong Guo1,2,*, and Bin Chen5,6

    • 1School of physics and astronomy, Beijing Normal University, Beijing 100875, People’s Republic of China
    • 2Key Laboratory of Multiscale Spin Physics (Ministry of Education), Beijing Normal University, Beijing 100875, People’s Republic of China
    • 3Department of Physics, Institute of Interdisciplinary Studies, Hunan Research Center of the Basic Discipline for Quantum Effects and Quantum Technologies, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, Hunan 410081, People’s Republic of China
    • 4Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou 225009, People’s Republic of China
    • 5Institute of Fundamental Physics and Quantum Technology and School of Physical Science and Technology, Ningbo University, Ningbo, Zhejiang 315211, People’s Republic of China
    • 6School of Physics, Peking University and Center for High Energy Physics, No.5 Yiheyuan Road, Beijing 100871, People’s Republic of China

    • *Contact author: minyongguo@bnu.edu.cn

    Phys. Rev. D 113, 024033 – Published 16 January, 2026

    DOI: https://doi.org/10.1103/ys9s-8nw2

    Abstract

    An initially retrograde accretion flow is transformed into a prograde configuration before plunging into the black hole, as a result of the frame-dragging effect induced by the black hole’s rotation. The polarized image of a black hole shaped by such an accretion flow manifests three distinctive critical locations: the turning point of the flow’s primary image, the polarization handedness-flip location on the image plane, and the position of the primary image corresponding to the flow’s actual turning point in spacetime. Due to the influences of gravitational lensing and gravitational Faraday rotation, these three positions generally do not coincide. In this work, we examine a thin equatorial accretion disk composed of initially retrograde, geodesically moving flows, and conduct a systematic investigation into the interrelations and discrepancies among these critical locations. We elucidate the spatial hierarchy among the three, and for an on-axis observer, we derive approximate analytic expressions characterizing their positions.

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