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Revisiting the shadow of Johannsen-Psaltis black holes

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arxiv 2501.08287 v1 pith:4HLZQBUO submitted 2025-01-14 gr-qc

Xinyu Wang , Zhixing Zhao , Xiao-Xiong Zeng , Xin-Yang Wang This is my paper · ORCID
classification gr-qc
keywords blackholesanalyticalapproachapproximateeventhorizonsshadow
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abstract

The Johannsen-Psaltis (JP) metric provides a robust framework for testing the no-hair theorem of astrophysical black holes due to the regular spacetime configuration around JP black holes. Verification of this theorem through electromagnetic spectra often involves analyzing the photon sphere near black holes, which is intrinsically linked to black hole shadows. Investigating the shadow of JP black holes offers an effective approach for assessing the validity of theorem. Since the Hamilton-Jacobi equation in the JP metric does not permit exact variable separation, an approximate analytical approach is employed to calculate the shadow, while the backward ray-tracing numerical method serves as a rigorous alternative. For JP black holes with closed event horizons, the approximate analytical approach reliably reproduces results obtained through the numerical computation. However, significant discrepancies emerge for black holes with non-closed event horizons. As the deviation parameter $\epsilon_3$ increases, certain regions of the critical curve transition into non-smooth configurations. Analysis of photon trajectories in these regions reveals chaotic dynamics, which accounts for the failure of the approximate analytical method to accurately describe the shadows of JP black holes with non-closed event horizons.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Novel extended inner shadow in images of Johannsen-Psaltis black holes with thin accretion disks

    gr-qc 2026-07 conditional novelty 6.0 of 10

    JP black holes with non-closed horizons produce an 'extended inner shadow' distinct from the ordinary inner shadow, and all image scales (inner shadow, photon ring, peak positions) grow monotonically with |ϵ3|.

  2. Optical Images of the Braneworld Black Hole Surrounded by an Optically Thin Accretion Disk

    astro-ph.HE 2026-07 conditional novelty 5.0 of 10

    A rotating braneworld black hole with tidal charge casts an asymmetric, spin- and q-dependent shadow; with the adopted disk emissivity, its 86 GHz image is brighter than its 230 GHz image.

  3. Viscosity effects on the shadow of a non-rotating black hole

    gr-qc 2026-07 conditional novelty 5.0 of 10

    Shear viscosity and spacetime-curvature transport alter synthetic black hole shadow images of stationary magnetized tori at the few-μJy level.

  4. The shadow and quasinormal modes of the asymptotically flat hairy black holes with a dilaton potential

    gr-qc 2025-08 conditional novelty 5.0 of 10

    For exact asymptotically flat hairy charged black holes with a dilaton potential, the shadow radius, photon-orbit Lyapunov exponent, and scalar quasinormal frequencies are computed, showing strong coupling dependence ...

  5. Testing Extended Theories of Gravity via Black Hole Photon Rings

    gr-qc 2025-05 conditional novelty 3.0 of 10

    For Konoplya-Zhidenko deformed Schwarzschild black holes, epsilon controls photon sphere, shadow, and photon ring size while a2 and b2 are observationally degenerate, and EHT data constrain epsilon to about -0.09 to 0...

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