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Marco Valerio Battisti
Title: Quantum
Cosmology: Evolutionary Quantum Dynamics and Generalized Uncertainty Principle
Speaker: Marco Valerio Battisti (battisti@icra.it)
Co-author: Giovanni Montani
ICRANet - Physics Department University of Rome ``La Sapienza''
Abstract:
The comparison of two different quantum cosmological approaches is
investigated. We consider a Schrodinger dynamics for
the gravitational field associated to a Bianchi IX cosmological model and then
we solve the corresponding eigenvalue problem. We
show that, form a phenomenological point of view, an Evolutionary Quantum
Cosmology overlaps the Wheeler-De Witt approach.
This
model is compared to a quantization of the same cosmological model using a
generalized uncertainty relation. In particular we quantize the anisotropy
variable of the Taub cosmological model, as well as
Bianchi IX, using generalized commutation relations that imply that we have a
minimal anisotropy uncertainty.
Riccardo Benini
Title: "Influcence of a Vector Field on the Mixmaster
Dynamics"
Authors: Riccardo Benini,
Giovanni Montani
Speaker: Riccardo
Benini
Abstract: We show that in
multidimensional gravity, vector fields completely determine the structure and
properties of singularity. It turns out that in the presence of a vector field
the oscillatory regime exists in all spatial dimensions and for all homogeneous
models. By analysing the Hamiltonian equations we
derive the Poincar´e return
map associated
with the Kasner indexes and fix the rules according
to which the Kasner vectors rotate.
In correspondence to a fourdimensional spacetime, the
oscillatory regime here constructed overlaps the usual Belinski-Khalatnikov-Liftshitz one.
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