Strong deflection gravitational lensing for photon coupled to Weyl tensor in a charged Kiselev black hole

Abstract

Strong deflection gravitational lensing is investigated for photon coupled to Weyl tensor in a charged Kiselev black hole, and its observables have been found. We get the asymptotically flat solutions, for the appropriate range of the equation of state parameter ω̃. Constructing the action corresponding to the electromagnetic field coupled to Weyl tensor, the equation of motion for the photon coupled to Weyl tensor in the curved background of the black hole is derived, which leads to the light cone conditions. It is found that gravitational lensing depends not only on the coupling with Weyl tensor and the polarization direction, but also on the effective charge of the black hole. The critical values for coupling parameter are also found for the existence of the circular photon orbit outside the black hole event horizon. By taking, the supermassive black holes, SgrA∗, and M87∗ in the Galactic Center and as lenses, we have estimated these observables and analyzed the possibility of detecting the quantum improvement.