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Understanding photon sphere and black hole shadow in dynamically evolving spacetimes

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arxiv 1903.06376 v2 pith:HZN6V2CP submitted 2019-03-15 gr-qc

Understanding photon sphere and black hole shadow in dynamically evolving spacetimes

classification gr-qc
keywords spherephotonbeenblackevolutionholepresentedshadow
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We have derived the differential equation governing the evolution of the photon sphere for dynamical black hole spacetimes with or without spherical symmetry. Numerical solution of the same depicting evolution of the photon sphere has been presented for Vaidya, Reissner-Nordstr\"{o}m-Vaidya and de-Sitter Vaidya spacetimes. It has been pointed out that evolution of the photon sphere depends crucially on the validity of the null energy condition by the in-falling matter and may present an observational window to even test it through black hole shadow. We have also presented the evolution of the photon sphere for slowly rotating Kerr-Vaidya spacetime and associated structure of black hole shadow. Finally, the effective graviton metric for Einstein-Gauss-Bonnet gravity has been presented, and the graviton sphere has been contrasted with the photon sphere in this context.

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Cited by 5 Pith papers

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

  1. Photon spheres in dynamical space-times

    gr-qc 2026-06 unverdicted novelty 7.0

    A covariant framework is developed for photon surfaces in dynamical spherical spacetimes, recovering static limits and applied to collapse and accretion/evaporation models.

  2. Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity

    gr-qc 2026-05 unverdicted novelty 4.0

    Perturbative f(R, G) corrections shift the photon-sphere radius and black-hole shadow size, with the Gauss-Bonnet sector contributing more than mixed terms.

  3. Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity

    gr-qc 2026-05 unverdicted novelty 4.0

    Perturbative f(R,G) corrections shift the photon-sphere radius and shadow size, with the Gauss-Bonnet term dominating over mixed curvature contributions.

  4. Observational Signatures of Rotating Ay\'{o}n-Beato-Garc\'{i}a Black Holes: Shadows, Accretion Disks and Images

    gr-qc 2026-03 unverdicted novelty 4.0

    Rotating Ayón-Beato-García black holes produce smaller and sometimes D-shaped shadows whose size constrains the charge parameter ζ to the range 0.132811M–0.213607M when matched to EHT observations of M87* and Sgr A*.

  5. Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity

    gr-qc 2026-05 unverdicted novelty 3.0

    Perturbative higher-curvature corrections in f(R,G) gravity shift the photon-sphere radius and black-hole shadow size away from Schwarzschild values, with the Gauss-Bonnet sector contributing more than mixed terms.