English

Matter matters in Einstein-Cartan gravity

High Energy Physics - Theory 2021-09-22 v2 General Relativity and Quantum Cosmology High Energy Physics - Phenomenology

Abstract

We study scalar, fermionic and gauge fields coupled nonminimally to gravity in the Einstein-Cartan formulation. We construct a wide class of models with nondynamical torsion whose gravitational spectra comprise only the massless graviton. Eliminating non-propagating degrees of freedom, we derive an equivalent theory in the metric formulation of gravity. It features contact interactions of a certain form between and among the matter and gauge currents. We also discuss briefly the inclusion of curvature-squared terms.

Keywords

Cite

@article{arxiv.2106.13811,
  title  = {Matter matters in Einstein-Cartan gravity},
  author = {Georgios K. Karananas and Mikhail Shaposhnikov and Andrey Shkerin and Sebastian Zell},
  journal= {arXiv preprint arXiv:2106.13811},
  year   = {2021}
}

Comments

Journal version---discussion extended, typos corrected, references added

R2 v1 2026-06-24T03:36:48.619Z