Torsion and nonmetricity in scalar-tensor theories of gravity

J -P Berthias, B Shahid-Saless
1993 Classical and quantum gravity  
We show that the gravitational field equations derived from an action composed of i) an arbitrary function of the scalar curvature and other scalar fields plus ii) connection-independent kinetic and source terms, are identical whether one chooses nonmetricity to vanish and have non-zero torsion or vice versa.
doi:10.1088/0264-9381/10/5/020 fatcat:ttsbqogjwvhsxif5ir6v4zg7iq