Conformal scalar and torsion do not go together
General Relativity and Quantum Cosmology
2018-05-29 v4
Abstract
We investigate the conformal transformation of vierbein-Einstein-Palatini (VEP) action in terms of tetrads and spin connection . The transformation of the spin connection is indeterminate off-shell unless equations of motion are satisfied. We construct the conformally invariant scalar field in the torsion-free VEP formalism. In presence of fermionic matter, torsion does not vanish, and shows up in the dynamics of conformal scalar, affecting the invariance. It is not possible to maintain conformal invariance of the scalar field equation when fermions are present.
Keywords
Cite
@article{arxiv.1607.06261,
title = {Conformal scalar and torsion do not go together},
author = {Subhasish Chakrabarty and Amitabha Lahiri},
journal= {arXiv preprint arXiv:1607.06261},
year = {2018}
}
Comments
The action chosen was not sufficiently general, so some of the results were not general. The paper is withdrawn