Dirac spinors in Bianchi-I f(R)-cosmology with torsion

Details Dirac spinors in Bianchi-I f(R)-cosmology with torsion Dirac spinors in Bianchi-I f(R)-cosmology with torsion

2011-06-02

arxiv.org/abs/1106.0414v3

J. Math. Phys. 52, 112502 (2011)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, 1 figure

Scientific paper

10.1063/1.3658865

We study Dirac spinors in Bianchi type-I cosmological models, within the framework of torsional $f(R)$-gravity. We find four types of results: the resulting dynamic behavior of the universe depends on the particular choice of function $f(R)$; some $f(R)$ models do not isotropize and have no Einstein limit, so that they have no physical significance, whereas for other $f(R)$ models isotropization and Einsteinization occur, and so they are physically acceptable, suggesting that phenomenological arguments may select $f(R)$ models that are physically meaningful; the singularity problem can be avoided, due to the presence of torsion; the general conservation laws holding for $f(R)$-gravity with torsion ensure the preservation of the Hamiltonian constraint, so proving that the initial value problem is well-formulated for these models.

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