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Influence of Quantum Correction on the Black Hole Shadows, Photon Rings and Lensing Rings

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arxiv 2008.00657 v1 pith:QBYC2Z7F submitted 2020-08-03 gr-qc

classification gr-qc
keywords blackholequantumringslensingphotonschwarzschildcorrected
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We calculate the photon sphere $r_{ph}$ and critical curve $b_c$ for the quantum corrected Schwarzschild black hole, finding that they violate an universal inequalities proved for asymptotically flat black holes which satisfy null energy condition in the framework of Einstein gravity. This violation seem to be a common phenomenon when considering quantum modification of Einstein gravity. Furthermore, we study the shadows, lensing rings and photon rings in the quantum corrected Schwarzschild black hole. The violation leads to a larger bright lensing ring in the observational appearance of thin disk emission near the black hole compared with the classical Schwarzschild black hole. Our analysis may provide a observational evidence for quantum effect of general relativity.

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Cited by 4 Pith papers

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

  1. Observational Constraints on Kazakov-Solodukhin Quantum-Deformed Black Holes from M87$^*$ and Sgr A$^*$ Shadows

    gr-qc 2026-07 conditional novelty 4.0 of 10

    EHT shadow sizes of M87* and Sgr A* constrain the Kazakov-Solodukhin deformation parameter η to O(1) ranges while the metric remains asymptotically Schwarzschild.

  2. Image of a quantum-corrected black hole without Cauchy horizons illuminated by a static thin accretion disk

    gr-qc 2025-10 conditional novelty 4.0 of 10

    For the no-Cauchy-horizon quantum-corrected metric, a larger quantum parameter produces larger horizon, photon sphere, ISCO, and shadow, with narrower and tighter-spaced photon and lensed rings.

  3. Image of the time-dependent black hole

    gr-qc 2025-07 conditional novelty 4.0 of 10

    For a Vaidya black hole with linearly growing mass, the accretion disk image's bright spot shifts radially outward with the conformal time coordinate, while the observed flux in the conformal frame remains time-independent.

  4. 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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