Energy of General Spherically Symmetric Solution in Tetrad Theory of Gravitation

Details Energy of General Spherically Symmetric Solution in Tetrad Theory of Gravitation Energy of General Spherically Symmetric Solution in Tetrad Theory of Gravitation

1996-01-29

arxiv.org/abs/gr-qc/9601044v1

Prog.Theor.Phys. 95 (1996) 665-678

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, LaTeX; published in Prog. Theor. Phys. 95 No.3 (1996)

Scientific paper

10.1143/PTP.95.665

We find the most general, spherically symmetric solution in a special class of tetrad theory of gravitation. The tetrad gives the Schwarzschild metric. The energy is calculated by the superpotential method and by the Euclidean continuation method. We find that unless the time-space components of the tetrad go to zero faster than ${1/\sqrt{r}}$ at infinity, the two methods give results different from each other, and that these results differ from the gravitational mass of the central gravitating body. This fact implies that the time-space components of the tetrad describing an isolated spherical body must vanish faster than ${1/\sqrt{r}}$ at infinity.

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