Analysis of big bounce in Einstein--Cartan cosmology

Abstract

We analyze the dynamics of a homogeneous and isotropic universe in the Einstein--Cartan theory of gravity. The spin of fermions produces spacetime torsion that prevents gravitational singularities and replaces the big bang with a nonsingular big bounce. We show that a closed universe exists only when a particular function of its scale factor and temperature is higher than some threshold value, whereas an open and a flat universes do not have such a restriction. We also show that a bounce of the scale factor is double: as the temperature increases and then decreases, the scale factor decreases, increases, decreases, and then increases.

5 pages, 3 tables, 2 figures

References in corpus (6)

• A Joint Analysis of BICEP2/Keck Array and Planck Data
• Cosmology with torsion: An alternative to cosmic inflation
• Friedmann-like universes with torsion
• Matter-antimatter asymmetry and dark matter from torsion
• Big bounce and closed universe from spin and torsion
• Einstein-Cartan Cosmologies

Cited by in corpus (12)

• Cosmological signatures of torsion and how to distinguish torsion from the dark sector
• Primordial Magnetogenesis in a Bouncing Universe
• A nonsingular, anisotropic universe in a black hole with torsion and particle production
• A classical, non-singular, bouncing universe
• Gravitational collapse of a fluid with torsion into a universe in a black hole
• Effect of Torsion on Neutron Star Structure in Einstein-Cartan Gravity
• Noncommutative momentum and torsional regularization
• Gravity with torsion as deformed $BF$ theory
• General-relativistic wave$-$particle duality with torsion
• Consistent solution of Einstein-Cartan equations with torsion outside matter
• Black holes in the expanding Universe
• Non-singular non-flat universes