Spin fluids in Bianchi-I f(R)-cosmology with torsion

Abstract

We study Weyssenhoff spin fluids in Bianchi type-I cosmological models, within the framework of torsional f(R)-gravity; the resulting field equations are derived and discussed in both Jordan and Einstein frames, clarifying the role played by the spin and the non-linearity of the gravitational Lagrangian f(R) in generating the torsional dynamical contributions. The general conservation laws holding for f(R)-gravity with torsion are employed to provide the conditions needed to ensure the preservation of the Hamiltonian constraint and the consequent correct formulation of the associated initial value problem. Examples are eventually given.

18 pages

References in corpus (7)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• f(R) Gravity with Torsion: The Metric-Affine Approach
• f(R) cosmology with torsion
• f(R) gravity with torsion: a geometric approach within the J-bundles framework
• Dirac fields in f(R)-gravity with torsion

Cited by in corpus (5)

• Transit cosmological models with observational constraints in f(Q, T) gravity
• The dynamics of Bianchi I universes in $R^n$ cosmologies with torsion
• On the junction conditions in $f(R)$-gravity with torsion
• Two-Component Spinors in Spacetimes with Torsionful Affinities
• The non-singular Trautman-Kopczyński big-bang model and a torsional spinor description of dark matter