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

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

2008-01-23

arxiv.org/abs/0801.3548v1

Int.J.Mod.Phys.A23:1903-1918,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex. Will appear in IJMPA

Scientific paper

10.1142/S0217751X08039670

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 M{\o}ller 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.

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