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Speaker |
Moriconi, Riccardo |
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Coauthors |
Montani, Giovanni; Capozziello, Salvatore |
| Talk Title |
Chaos Removal in the R + qR2 gravity: the Mixmaster model |
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Abstract |
We study the asymptotic dynamics of the Mixmaster Universe, near the cosmological singularity, considering f(R) gravity up to a quadratic corrections in the Ricci scalar R. The analysis is performed in the scalar-tensor framework and adopting Misner-Chitre-like variables to describe the Mixmaster Universe, whose dynamics resembles asymptotically a billiard-ball in a given domain of the half-Poincare space. The form of the potential well depends on the spatial curvature of the model and on the particular form of the self-interacting scalar field potential. We demonstrate that the potential walls determine an open domain in the con guration region, allowing the point-Universe to reach the absolute of the considered Lobachevsky space. In other words, we outline the existence of a stable fi nal Kasner regime in the Mixmaster evolution, implying the chaos removal near the cosmological singularity. |
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