7 research outputs found
Scalar field in the Bianchi I: Non commutative classical and Quantum Cosmology
Using the ADM formalism in the minisuperspace, we obtain the commutative and
noncommutative exact classical solutions and exact wave function to the
Wheeler-DeWitt equation with an arbitrary factor ordering, for the anisotropic
Bianchi type I cosmological model, coupled to a scalar field, cosmological term
and barotropic perfect fluid. We introduce noncommutative scale factors,
considering that all minisuperspace variables do not commute, so the
symplectic structure was modified. In the classical regime, it is shown that
the anisotropic parameter and the field , for some
value in the cosmological term and noncommutative
parameter, present a dynamical isotropization up to a critical cosmic time
; after this time, the effects of isotropization in the noncommutative
minisuperspace seems to disappear. In the quantum regimen, the probability
density presents a new structure that corresponds to the value of the
noncommutativity parameter.Comment: 17 pages, 6 figures, Acepted in IJT