The photon sphere radius R0 for the dilatonic dyonic black hole is the unique root greater than 2μ of a third-order polynomial, with unstable circular null geodesics and explicit relations for the shadow angle and critical impact parameter.
Stabil- ity Analysis of Circular Geodesics in Dyonic Dila- tonic Black Hole Spacetimes
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Photon Sphere for a Dilatonic Dyonic Black Hole in a Model with an Abelian Gauge Field and a Scalar Field
The photon sphere radius R0 for the dilatonic dyonic black hole is the unique root greater than 2μ of a third-order polynomial, with unstable circular null geodesics and explicit relations for the shadow angle and critical impact parameter.