Equations of Motion with Respect to the (1+1+3) Threading of a 5D Universe
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 (M, g). The natural splitting of the tangent bundle of 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.
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.