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How different are shadows of compact objects with and without horizons?

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arxiv 2301.04851 v2 pith:56YX4HYX submitted 2023-01-12 gr-qc

classification gr-qc
keywords photonregionshadowsurfacecurvewithouthorizonsimpact
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In this work, we theoretically assume that a compact object (CO) can have a dark surface so that the CO is simplified to have no emissions and reflections. Considering that the radius of the surface can be located inside or outside the photon region, which is closely related to the shadow curve, we investigate if a CO without an event horizon could produce shadow structures similar to black holes and figure out how different of shadows of COs with and without horizons. In particular, by introducing the (possible) observational photon region, we analytically construct an exact correspondence between the shadow curves with the impact parameters of photons and find that there are indeed several differences for shadows of COs without horizons and black holes. More precisely, We found the shadow curve is still determined by the photon region when the radius of the surface is small enough to retain a whole photon region outside the shell. When only part of the photon region remains, the shadow curve is partially determined by the photon region, and the remaining portion of the shadow curve is partly controlled by the impact parameters of photons which has a turning point on the surface. When there's no photon region outside the surface, the shadow curve is totally controlled by the impact parameters of photons which has a turning point on the surface.

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Cited by 2 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. Semi-analytical Study on the Polarized Images of Black Hole due to Frame Dragging

    gr-qc 2025-08 unverdicted novelty 5.0 of 10

    Frame dragging flips an initially retrograde equatorial flow around a Kerr black hole, and the polarized image shows three distinct critical locations whose spatial hierarchy is derived analytically for an on-axis observer.

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