Splitting of the Einstein Field Equations with Respect to the $(1+1+3)$ Threading of a $5D$ Universe
We obtain a new and simple splitting of Einstein field equations with respect to the $(1+1+3)$ threading of a $5D$ universe $(\bar{M}, \bar{g})$. The study is based on
the spatial tensor fields and on the Riemannian spatial connection, which behave as $3D$ geometric objects. All the equations are expressed with respect to the
adapted frame field and the adapted coframe field induced by the $(1+1+3)$ threading of $(\bar{M}, \bar{g})$. In particular, we obtain the splitting of the
Einstein field equations in a $5D$ Robertson-Walker universe.
Keywords:
Einstein field equations, spatial tensor fields 3D geometric objects, 5D Robertson-Walker universe,
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- Yayın Aralığı: 2
- Başlangıç: 2008
- Yayıncı: Prof.Dr. H.Hilmi Hacısalioğlu