Problems with metric-teleparallel theories of gravitation

Abstract

A general Lagrangian formulation of the metric-affine, metric compatible theories of gravitation is given. The applicability of the metric-teleparallel geometry to gravitation is considered. It is pointed out that a teleparallel theory with the Lagrangian usually accepted in the literature leads to a non-predictable behaviour of torsion. A new choice of the Lagrangian is proposed.