Chiral fermions and torsion in the early Universe

Abstract

Torsion arising from fermionic matter in the Einstein-Cartan formulation of general relativity is considered in the context of Robertson-Walker geometries and the early Universe. An ambiguity in the way torsion arising from hot fermionic matter in chiral models should be implemented is highlighted and discussed. In one interpretation, chemical potentials in chiral models can contribute to the Friedmann equation and give a negative contribution to the energy density.

5 pages revtex4; error in v1 corrected.

References in corpus (5)

• Phenomenology with Massive Neutrinos
• Physical Aspects of the Space-Time Torsion
• Constraints on Torsion from Lorentz Violation
• Bouncing Cosmologies in Palatini $f(R)$ Gravity
• Geometric classification of the torsion tensor in space-time

Cited by in corpus (17)

• Cosmology with a spin
• Einstein-Cartan wormhole solutions
• Poincare gauge theory of gravity: Friedman cosmology with even and odd parity modes. Analytic part
• Gravitational and Chiral Anomalies in the Running Vacuum Universe and Matter-Antimatter Asymmetry
• Mixed axial-torsional anomaly in Weyl semimetals
• Charged Wormhole Solutions in Einstein-Cartan gravity
• Dynamic wormhole solutions in Einstein-Cartan gravity
• Parity violating Friedmann Universes
• Spinor driven cosmic bounces and their cosmological perturbations
• Stability of the Einstein static Universe in Einstein-Cartan-Brans-Dicke gravity
• Gravity waves in parity-violating Copernican Universes
• Non-minimally coupled nonlinear spinor field in FRW cosmology
• A first-order approach to conformal gravity
• An Exact Fermionic Chern-Simons-Kodama State in Quantum Gravity
• Fermion condensate from torsion in the reheating era after inflation
• Spinors in cylindrically symmetric space-time
• Torsional four-fermion interaction and the Raychaudhuri equation