Understanding photon sphere and black hole shadow in dynamically evolving spacetimes

Abstract

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-Nordström-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.

39 pages, Accepted in PRD

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• Light rings of stationary spacetimes
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• A study on black hole shadows in asymptotically de Sitter spacetimes
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• Gravitational Lensing by Black Holes with Multiple Photon Spheres
• Geodesic motion around hairy black holes
• Dynamical photon sphere and time evolving shadow around black holes with temporal accretion
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• General Approach on Shadow Radius and Photon Spheres in Asymptotically Flat Spacetimes and the Impact of Mass-Dependent Variations
• Analyzing the Influence of Geometrical Deformation on Photon Sphere and Shadow Radius: A New Analytical Approach -- Spherically Symmetric Spacetimes
• Quasi-local photon surfaces in general spherically symmetric spacetimes
• Ergosphere, photon region structure, and the shadow of a rotating charged Weyl black hole
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• Dynamical Photon Spheres in Charged Black Holes and Naked Singularities
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