Teleparallel gauge theory of gravity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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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.

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