Eur. Phys. J. C (2016) 76: 2
https://doi.org/10.1140/epjc/s10052-015-3855-1

Regular Article - Theoretical Physics

Equations of motion with respect to the threading of a 5D universe

Department of Mathematics, Kuwait University, P. O. Box 5969, Safat, 13060, Kuwait

^* e-mail: aurel.bejancu@ku.edu.kw

Received: 18 November 2015
Accepted: 14 December 2015
Published online: 5 January 2016

Abstract

We continue our research work started in Bejancu (Eur Phys J C 75:346, 2015), and obtain in a covariant form the equations of motion with respect to the threading of a 5D universe . The natural splitting of the tangent bundle of leads to the study of three categories of geodesics: spatial geodesics, temporal geodesics, and vertical geodesics. As an application of the general theory, we introduce and study what we call the 5D Robertson–Walker universe.