Scale invariant Einstein-Cartan theory in three dimensions
General Relativity and Quantum Cosmology
2023-02-03 v2
Abstract
We retreat the well-known Einstein-Cartan theory by slightly modifying the covariant derivative of spinor field by investigating double cover of the Lorentz group. We first write the Lagrangian consisting of the Einstein-Hilbert term, Dirac term and a scalar field term in a non-Riemannian spacetime with curvature and torsion. Then by solving the affine connection analytically we reformulate the theory in the Riemannian spacetime in a self-consistent way. Finally we discuss our results and give future perspectives on the subject.
Cite
@article{arxiv.2212.02917,
title = {Scale invariant Einstein-Cartan theory in three dimensions},
author = {Muzaffer Adak and Nese Ozdemir and Ozcan Sert},
journal= {arXiv preprint arXiv:2212.02917},
year = {2023}
}
Comments
Accepted for publication in Eur. Phys. J. C