Propagation of light in the presence of gravity generated by static and spherically symmetric curved space-times using Maxwell equations

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In this manuscript, we present an alternative method for calculating null geodesics in General Static Isotropic Metrics in General Relativity and Extended Theories of Gravity.

• By applying a conformal transformation, we are able to consider an analogue gravity model, where curvature is encoded in the dielectric and magnetic properties of a medium.
• In other words, we pass from curved to flat space-times, where instead of the Einstein field equations, the Maxwell equations are solved.
• Within this geometrical background, the photon geodesics are calculated.