Energy and angular momentum of general four-dimensional stationary axi-symmetric spacetime in teleparallel geometry

Gamal G.L. Nashed, Ain Shams University

Abstract

We derive an exact general axi-symmetric solution of the coupled gravitational and electromagnetic fields in the tetrad theory of gravitation. The solution is characterized by four parameters: M (mass), Q (charge), a (rotation) and L (NUT). We then calculate the total exterior energy using the energymomentum complex given by Møller in the framework of Weitzenböck geometry. We show that the energy contained in a sphere is shared by its interior as well as exterior. We also calculate the components of the spatial momentum to evaluate the angular momentum distribution. We show that the only nonvanishing components of the angular momentum is in the Z direction. © 2008 World Scientific Publishing Company.