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.
Einstein field equations spatial tensor fields 3D geometric objects 5D Robertson-Walker universe
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Araştırma Makalesi |
Yazarlar | |
Yayımlanma Tarihi | 15 Nisan 2021 |
Kabul Tarihi | 26 Aralık 2020 |
Yayımlandığı Sayı | Yıl 2021 Cilt: 14 Sayı: 1 |