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arXiv · 1604.04134

On The splitting of the Einstein field equations with respect to a general $(1 + 3)$ threading of spacetime

Aurel Bejancu·Hani Reda Farran
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Abstract

Based on a general $(1+3)$ threading of the spacetime $(M,g)$, we obtain a new and simple splitting of a both the Einstein field equations (EFE) and the conservation laws in $(M,g)$. 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 Friedman equations in an almost FLRW universe.

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Aurel Bejancu, Hani Reda Farran. 2016-04-14. On The splitting of the Einstein field equations with respect to a general $(1 + 3)$ threading of spacetime. https://arxiv.org/abs/1604.04134

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