Is torsion needed in a theory of gravity? A reappraisal

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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Revtex, 24 pages. The paper is written Lecture delivered at {\it Hypercomplex Seminar 2011} in B\c{e}dlewo, Poland, 23-30 Juky

Scientific paper

It is known that General Relativity ({\bf GR}) uses a Lorentzian Manifold $(M_4;g)$ as a geometrical model of the physical spacetime. The metric $g$ is required to satisfy Einstein's equations. Since the 1960s many authors have tried to generalize this model by introducing torsion. In this paper we discuss the present status of torsion in a theory of gravity. Our conclusion is that the general-relativistic model of the physical spacetime is sufficient for the all physical applications and it seems to be the best satisfactory.

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