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On Some Accelerating Cosmological Kaluza-Klein Models

Goran S. Djordjevic·Ljubisa Nesic
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Abstract

We consider (4+D)-dimensional Kaluza-Klein cosmological model with two scaling factors, as real, p-adic and adelic quantum mechanical one. One of the scaling factors corresponds to the D-dimensional internal space, and second one to the 4-dimensional universe. In standard quantum cosmology, i.e. over the field of real numbers R, it leads to dynamical compactification of additional dimensions and to the accelerating evolution of 4-dimensional universe. We construct corresponding $p$-adic quantum model and explore existence of its p-adic ground state. In addition, we explore evolution of this model and a possibility for its adelic generalization. It is necessary for the further investigation of space-time discreteness at very short distances, i.e. in a very early universe

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Goran S. Djordjevic, Ljubisa Nesic. 2005-09-02. On Some Accelerating Cosmological Kaluza-Klein Models. https://arxiv.org/abs/gr-qc/0509011

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