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

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  • Aurel Bejancu
  • Hani Reda Farran

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.

Suggested Citation

  • Aurel Bejancu & Hani Reda Farran, 2016. "On the Splitting of the Einstein Field Equations with respect to General Threading of Spacetime," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-15, November.
    • Handle: RePEc:hin:jnlamp:3645129
    DOI: 10.1155/2016/3645129
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