Electromagnetic waves in NUT space: solutions to the Maxwell equations

In this paper, using the Newman-Penrose formalism, we find the Maxwell equations in NUT space and after separation into angular and radial components solve them analytically. All the angular equations are solved in terms of the Jacobi polynomials. The radial equations are transformed into hypergeometric and Heun's equations with their right-hand sides including terms of different order in the frequency of the perturbation which allow solutions in the expansion of this parameter.