Electromagnetic waves in NUT space: Solutions to the Maxwell equations

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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19 pages, Revtex format, Minor changes including an extention of the discussion and typos correction, (Extended version of the

Scientific paper

10.1088/0264-9381/21/2/011

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 Jaccobi polynomials. The radial equations are transformed into Hypergeometric and Heun's equations with the right hand sides including terms of different order in the frequency of the perturbation which allow solutions in the expansion of this parameter.

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