Gravitational four-fermion interaction and dynamics of the early Universe

Abstract

If torsion exists, it generates gravitational four-fermion interaction (GFFI), essential on the Planck scale. We analyze the influence of this interaction on the Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmology. Explicit analytical solution is derived for the problem where both the energy-momentum tensor generated by GFFI and the common ultrarelativistic energy-momentum tensor are included. We demonstrate that gravitational four-fermion interaction does not result in Big Bounce.

arXiv commentAxial-axial and vector-vector contributions have been recalculated: the AA contribution is 4 times larger than in previous calculations, the VV contribution is the same, the conclusions have not changed. arXiv admin note: text overlap with arXiv:1210.7306

References in corpus (4)

• Physical Aspects of the Space-Time Torsion
• Dirac fields, torsion and Barbero-Immirzi parameter in Cosmology
• How Is the Maximum Entropy of a Quantized Surface Related to Its Area?
• Cosmology constrains gravitational four-fermion interaction

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• Einstein-Proca theory from the Einstein-Cartan formulation
• Singularity-free spinors in gravity with propagating torsion
• Torsionally-Induced Stability in Spinors
• Black Hole singularity avoidance by the Higgs scalar field
• Possibility of Spontaneous Symmetry Breaking in the Nambu-Jona-Lasinio model with torsion