7–12 Jul 2024
Aurum, the ‘Gabriele d’Annunzio’ University and ICRANet
Europe/Rome timezone

Mixmaster Universe in a 2D non-commutative GUP framework

9 Jul 2024, 17:00
30m
M5 ( Palazzo Micara of the ‘Gabriele d’Annunzio’ University)

M5

Palazzo Micara of the ‘Gabriele d’Annunzio’ University

Viale Pindaro, 42, Pescara
Talk in a parallel session Inflation: perturbations, initial singularities and emergent universes Inflation: perturbations, initial singularities and emergent universes

Speaker

Sebastiano Segreto (Università degli Studi di Roma "La Sapienza")

Description

In this work, we examine the dynamical aspects of the cosmological Mixmaster model within the framework of a non-commutative Generalized Uncertainty principle (GUP) theory.
The theory is formulated classically by introducing a well-defined symplectic form that differs from the ordinary one, thereby inducing a deformation of the Poisson brackets.
We first investigate the behavior of the Bianchi I and Bianchi II models using Misner variables. Then, we study the Bianchi IX model in the Mixmaster approximation, which is well-known for accurately reproducing the dynamics of the point-particle Universe approaching the cosmological singularity.
We derive the corresponding Belinsky-Khalatnikov-Lifshitz (BKL) map and explore its resulting features, shaped by the effects of the non-commutative GUP scheme.

Primary authors

Giovanni Montani (ENEA) Sebastiano Segreto (Università degli Studi di Roma "La Sapienza")

Presentation materials