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Advances in Mathematical Physics
Volume 2016 (2016), Article ID 3645129, 15 pages
http://dx.doi.org/10.1155/2016/3645129
Research Article

On the Splitting of the Einstein Field Equations with respect to General Threading of Spacetime

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

Received 5 July 2016; Accepted 3 October 2016

Academic Editor: Eugen Radu

Copyright © 2016 Aurel Bejancu and Hani Reda Farran. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Based on general threading of the spacetime , we obtain a new and simple splitting of both the Einstein field equations (EFE) and the conservation laws in . As an application, we obtain the splitting of EFE in an almost FLRW universe with energy-momentum tensor of a perfect fluid. In particular, we state the perturbation Friedmann equations in an almost FLRW universe.