Electromagnetic Field in the Newman-Unti-Tamburino Spacetime

Abstract

Using the conventional tetrad method by Tetrode-Weyl-Fock-Ivanenko, we specify the Maxwell equations for Newman-Unti-Tamburino (NUT) spacetime. We apply the covariant Majorana-Oppenheimer matrix presentation of the Maxwell theory. Separation of the variables is performed, and the equations for angular and radial components are solved in terms of hypergeometric and confluent Heun functions respectively. We find the NUTcharge dependent quantization rule for the angular separation constant. Behavior of the radial components with structure of outgoing and ingoing waves is studied near the outer event horizon, and we demonstrate that the probability of particle-antiparticle production on the outer event horizon decreases with the increase of the NUT charge; the expression of temperature for the Hawking radiation of the photons coincides with that for the fermions production on the horizon. The effective constitutive relations, generated by metric structure of NUT spacetime, are derived; it is shown that the existence of the NUT charge leads to entanglement of electric and magnetic field components in these relations.