Shadow cast by a rotating black hole with anisotropic matter

We obtain the shadow cast induced by the rotating black hole with an anisotropic matter. A Killing tensor representing the hidden symmetry is derived explicitly. The existence of a separability structure implies complete integrability of the geodesic motion. We analyze an effective potential around the unstable circular photon orbits to show that one side of the black hole is brighter than the other side. Further, it is shown that the inclusion of the anisotropic matter (Kr2(1-w)) has an effect on the observables of the shadow cast. The shadow observables include approximate shadow radius R-s, distortion parameter delta(s), area of the shadow A(s), and oblateness D-s.

Automated summary

This study investigates the shadow cast induced by a rotating black hole with anisotropic matter, deriving a Killing tensor representing the hidden symmetry and analyzing the complete integrability of geodesic motion. The study also examines the effect of the anisotropic matter on shadow observables and concludes that it impacts one side of the black hole being brighter.