Energy and angular momentum of general 4-dimensional stationary axi-symmetric spacetime in teleparallel geometry

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 energy-momentum complex given by Møller in the framework of Weitzenb$\ddot{o}$ck 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 non-vanishing components of the angular momentum is in the Z direction.

arXiv commentLatex. Will appear in IJMPA

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Cited by in corpus (6)

• On the energy of Hořava-Lifshitz black holes
• Energy-Momentum Distribution in General Relativity for a Phantom Black Hole Metric
• Neutral compact spherically symmetric stars in teleparallel gravity
• Energy distribution of a regular black hole solution in Einstein-nonlinear electrodynamics
• Energy Distribution for Non-commutative Radiating Schwarzschild Black Holes
• On the Regularization of Kerr-NUT spacetime: I