Kinematic Quantities and Raychaudhuri Equations in a $5D$ Universe
General Relativity and Quantum Cosmology
2015-07-06 v1
Abstract
Based on some ideas emerged from the classical Kaluza-Klein theory, we present a universe as a product bundle over the spacetime. This enables us to introduce and study two categories of kinematic quantities (expansions, shear, vorticity) in a universe. One category is related to the fourth dimension (time), and the other one comes from the assumption of the existence of the fifth dimension. The Raychaudhuri type equations that we obtain in the paper, lead us to results on the evolution of both the expansion and expansion in a universe.
Keywords
Cite
@article{arxiv.1507.00973,
title = {Kinematic Quantities and Raychaudhuri Equations in a $5D$ Universe},
author = {Aurel Bejancu},
journal= {arXiv preprint arXiv:1507.00973},
year = {2015}
}
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27 pages