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: firstname.lastname@example.org
Accepted: 14 December 2015
Published online: 5 January 2016
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.
© The Author(s), 2016