SPACE, TIME AND FUNDAMENTAL INTERACTIONS

Dirac equation on the axially symmetric generalized Newman–Unti–Tamburino spacetime

Krylova N. G., Red’kov V. M.

We consider a set of the metrics derived as a generalization of Newman–Unti–Tamburino (NUT) spacetime and study the spin 1/2 massless particle on the background of the spacetime. In the framework of tetrad formalism, the Dirac equation has been derived and the variable separation has been performed. It has been shown that the angular equations preserve the form of the equations for the original NUT metric. The radial problem has been reduced to the one differential equation of second order. The special generalized NUT metric has been chosen in such a way that the radial system has been solved in terms of confluent Heun functions.