Frequency Shift of Photons in the Spacetime of Deformed RN BH

The motion of photons and the frequency shift of photons emitted by particles orbiting the central black hole described by the deformed Reissner-Nordstrom spacetime metric is investigated. It has been shown that in spacetime, two stable photon spheres are formed due to the gravitational attraction of photons by the central gravitating compact object. It has been found that as spacetime parameters increase, charge and deformation photon spheres become smaller in size and the effect of the electric charge is stronger than the effect of the deformation parameter. The frequency shift of photons radiated by the particles at the equatorial plane becomes stronger for the smaller values of the deformation parameter and the electric charge of the deformed Reissner-Nordstrom black hole.