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

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

2011-09-27

arxiv.org/abs/1109.5821v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages

Scientific paper

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.

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