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The Mixmaster Model as a Cosmological Framework and Aspects of its Quantum Dynamics
Giovanni Imponente,Giovanni Montani 한국물리학회 2003 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.42 No.III
This paper provides a review of some recent issues on the Mixmaster dynamics concerning the features of its stochasticity. After a description of the geometrical structure characterizing the homogeneous cosmological models in the Bianchi classification and the Belinsky-Khalatnikov-Lifshitz piecewise representation of the types VIII and IX oscillatory regime, we face the question regarding the time covariance of the resulting chaos as viewed in terms of continuous Misner-Chitr\'e like variables. Finally, we show how in the statistical mechanics framework the Mixmaster chaos raises as semiclassical limit of the quantum dynamics in the Planckian era.
Particles and Fields within a Unification Scheme
Francesco Cianfrani,Valentino Lacquaniti,Giovanni Montani 한국물리학회 2010 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.56 No.5
We discuss the properties of particles and fields in a multi-dimensional space-time, where the geometrization of gauge interactions can be performed. For instance, in a 5-dimensional Kaluza-Klein manifold, we argue that the motion of charged spinning bodies is obtained in a Papapetrou-like formulation. As far as spinors are concerned, we outline how the gauge coupling can be recognized by using a proper dependence on extra-coordinates and by using the dimensional reduction procedure.
Riemannian and Non-riemannian Extensions of Geometrodynamics Versus Einsteinian Gravity
Orchidea Maria Lecian,Giovanni Montani 한국물리학회 2010 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.56 No.5
We analyze some extensions of General Relativity. Within the framework of modified gravity,the Newtonian limit of a class of gravitational actions is discussed on the basis of the corresponding scalar-tensor model. For a generalized asymmetric metric, autoparallel trajectories are defined under suitable conditions at first-order approximation.