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Connection Between the Shadow Radius and Quasinormal Modes in Rotating Spacetimes
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Based on the geometric-optics correspondence between the parameters of a quasinormal mode and the conserved quantities along geodesics, we propose an equation to calculate the typical shadow radius for asymptotically flat and rotating black holes when viewed from the equatorial plane given by \begin{equation}\notag \bar{R}_s=\frac{\sqrt{2}}{2}\left(\sqrt{\frac{ r_0^{+}}{f'(r)|_{r_0^{+}}}}+\sqrt{\frac{ r_0^{-}}{f'(r)|_{r_0^{-}}}}\right), \end{equation} with $r_0^{\pm}$ being the radius of circular null geodesics for the corresponding mode. Furthermore we have explicitly related the shadow radius to the real part of QNMs in the eikonal regime corresponding to the prograde and retrograde mode, respectively. As a particular example, we have computed the typical black hole shadow radius for some well known black hole solutions including the Kerr black hole, Kerr-Newman black hole and higher dimensional black hole solutions described by the Myers-Perry black hole.
Forward citations
Cited by 3 Pith papers
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Eikonal quasinormal modes, greybody factors and shadow of charged accelerating black holes
Eikonal quasinormal modes for accelerating black holes are determined by the angular velocity and Lyapunov exponent of null geodesics, yielding universal greybody factors for any spin and explicit shadow radii that re...
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Regular Black Holes in General Relativity from Nonlinear Electrodynamics with de Sitter Cores
New regular black hole metrics in GR arise from a magnetic monopole NLED configuration with de Sitter cores, are fitted to Sgr A* shadow size, and remain stable under scalar perturbations.
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Scalar and Electromagnetic Perturbations around a Black Hole with a Topological Defect: Quasinormal Modes and Quasi-bound States in a Plasma Medium
Plasma and a topological-defect parameter k jointly shift scalar QNM frequencies and permit electromagnetic quasi-bound states only for homogeneous plasma below a critical frequency threshold.
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