INFLATON POTENTIAL RECONSTRUCTION IN EINSTEIN–CARTAN COSMOLOGY

An extension of the reconstruction of inflaton potential in general relativistic cosmology to space–times with spin–torsion density is undertaken. Torsion effects are shown to decrease when the number of e-folds increases and are important only at the early stages of the inflation. The potential is computed in terms of a generalized equation of state and when the spin–torsion density is high and a chaotic inflation potential is found. A particle creation model in Einstein–Cartan cosmology is also shown to lead to chaotic inflation potential in de Sitter space–time.