Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2012-02-29
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages, no figures
Scientific paper
We investigate a tetrad theory of gravity that is invariant under conformal transformations. The action of the theory is similar to the action of Maxwell's electromagnetism. The role of the electromagnetic gauge potential is played by the trace of the torsion tensor of the Weitzenb\"ock spacetime. We show that all spherically symmetric space-times are solutions of the vacuum field equations. However, by fixing the gauge in the linearized form of the vacuum field equations, we obtain the usual Newtonian limit for the gravitational field.
Faria F. F.
Maluf Jos W.
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