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arXiv · 1511.06636

Equations of Motion with Respect to the $(1+1+3)$ Threading of a $5D$ Universe

Aurel Bejancu
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Abstract

We continue our research work started in "Kinematic Quantities and Raychaudhuri Equations in a $5D$ Universe" (Eur. Phys. J. C, 2015), and obtain in a covariant form, the equations of motion with respect to the $(1+1+3)$ threading of a $5D$ universe $(\bar{M}, \bar{g})$. The natural splitting of the tangent bundle of $\bar{M}$ leads us 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.

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Aurel Bejancu. 2015-11-19. Equations of Motion with Respect to the $(1+1+3)$ Threading of a $5D$ Universe. https://doi.org/10.1140/epjc%2Fs10052-015-3855-1

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