Kerr-Newman Solution and Energy in Teleparallel Equivalent of Einstein Theory

TL;DR

This paper derives an exact Kerr-Newman solution within the teleparallel equivalent of Einstein theory, analyzing its energy distribution and showing how charge affects energy sharing between interior and exterior regions.

Contribution

It presents a new exact solution in teleparallel gravity that models Kerr-Newman spacetime and investigates its energy distribution properties.

Findings

Total energy includes interior and exterior contributions.

Charge parameter influences energy sharing.

Energy is not shared by the exterior when charge is zero.

Abstract

An exact charged axially symmetric solution of the coupled gravitational and electromagnetic 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.