A note on a generalisation of Weyl's theory of gravitation

Dereli, Tekin and Tucker, Robin (1982) A note on a generalisation of Weyl's theory of gravitation. Journal of Physics A: Mathematical and General, 15 (1). L7-L11. ISSN 0305-4470

Abstract

A scale invariant gravitational theory due to Bach and Weyl is generalised by the inclusion of space time torsion. The difference between the arbitrary and zero torsion constrained variations of the Weyl action is elucidated. Conformal rescaling properties of the gravitational fields are discussed. A new class of classical solutions with torsion is presented.