A Kerr Metric Solution in Tetrad Theory of Gravitation

Details A Kerr Metric Solution in Tetrad Theory of Gravitation A Kerr Metric Solution in Tetrad Theory of Gravitation

2002-04-21

arxiv.org/abs/gr-qc/0204066v1

Chaos Solitons Fractals 15:687-694,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1016/S0960-0779(02)00167-4

Using an axial parallel vector field we obtain two exact solutions of a vacuum gravitational field equations. One of the exact solutions gives the Schwarzschild metric while the other gives the Kerr metric. The parallel vector field of the Kerr solution have an axial symmetry. The exact solution of the Kerr metric contains two constants of integration, one being the gravitational mass of the source and the other constant $h$ is related to the angular momentum of the rotating source, when the spin density ${S_{i j}}^\mu$ of the gravitational source satisfies $\partial_\mu {S_{i j}}^\mu=0$. The singularity of the Kerr solution is studied.

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