TY  - JOUR
T1  - Splitting of the Einstein Field Equations with Respect to the $(1+1+3)$ Threading of a $5D$ Universe
AU  - Farran, Hani Reda
AU  - Bejancu, Aurel
PY  - 2021
DA  - April
Y2  - 2020
DO  - 10.36890/iejg.902162
JF  - International Electronic Journal of Geometry
JO  - Int. Electron. J. Geom.
PB  - Kazım İlarslan
WT  - DergiPark
SN  - 1307-5624
SP  - 66
EP  - 84
VL  - 14
IS  - 1
LA  - en
AB  - 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 onthe spatial tensor fields and on the Riemannian spatial connection, which behave as  $3D$ geometric objects. All the equations are expressed with respect to theadapted 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 theEinstein field equations in a $5D$ Robertson-Walker universe.
KW  - Einstein field equations
KW  - spatial tensor fields
KW  - 3D geometric objects
KW  - 5D Robertson-Walker universe
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UR  - https://doi.org/10.36890/iejg.902162
L1  - https://dergipark.org.tr/en/download/article-file/1658544
ER  -