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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
In particular, we obtain the splitting of the Einstein field equationsin a 5D Robertson-Walker universe.
📌 3 Key Takeaways
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Objective & Hypothesis:We obtain a new and simple splitting of Einstein field equations with respect to the (1 + 1 + 3)threading of a 5D universe ( M; g).
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Key Findings & Data:The study is based on the spatial tensor fields and on theRiemannian spatial connection, which behave as 3D geometric objects.
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Conclusion & Impact:In particular, we obtain the splitting of the Einstein field equationsin a 5D Robertson-Walker universe.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
We obtain a new and simple splitting of Einstein field equations with respect to the (1 + 1 + 3)threading of a 5D universe ( M; g). The study is based on the spatial tensor fields and on theRiemannian spatial connection, which behave as 3D geometric objects. All the equations areexpressed with respect to the adapted frame field and the adapted coframe field induced by the(1 + 1 + 3) threading of ( M; g). In particular, we obtain the splitting of the Einstein field equationsin a 5D Robertson-Walker universe.
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Cite This Article
BEJANCU, A., FARRAN, H. R. (2022). Splitting of the Einstein Field Equations with Respect to the (1 + 1 + 3) Threading of a 5D Universe. International Electronic Journal of Geometry, Cilt: 14 - Sayı: 1, 66–84. https://ajindex.com/articles/539590