Kerr-newman solution and energy in teleparallel equivalent of Einstein theory

Gamal G.L. Nashed, Ain Shams University

Abstract

An exact charged axially symmetric solution of the coupled gravitational and electro-magnetic fields in the teleparallel equivalent of Einstein theory is derived. It is characterized by three parameters "the gravitational mass M, the charge parameter Q and the rotation parameter a" and its associated metric gives Kerr-Newman spacetime. The parallel vector field and the electromagnetic vector potential are axially symmetric. We then calculate the total energy using the gravitational energy-momentum. The energy is found to be shared by its interior as well as exterior. Switching off the charge parameter we find that no energy is shared by the exterior of the Kerr-Newman black hole. © World Scientific Publishing Company.