Dergiler / International Electronic Journal of Geometry / 2021 / Cilt: 14 - Sayı: 1

Splitting of the Einstein Field Equations with Respect to the (1 + 1 + 3) Threading of a 5D Universe

Sayfa
66–84
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In particular, we obtain the splitting of the Einstein field equationsin a 5D Robertson-Walker universe.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:The study is based on the spatial tensor fields and on theRiemannian spatial connection, which behave as 3D geometric objects.
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Sonuç & Katkı:In particular, we obtain the splitting of the Einstein field equationsin a 5D Robertson-Walker universe.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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

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Kaynakça (6)

  1. Bejancu, A.:Kinematic quantities and Raychaudhuri equations in a 5D universe. The European Physical Journal C. 75 (7), 346 (2015)
  2. Bejancu, A.:Equations of motion with respect to the (1 + 1 + 3) threading of a 5 D universe. The European Physical Journal C. 76 (1), 2 (2016)
  3. Langlois, D.: Brane cosmology. Progress of Theoretical Physics Supplement. 148, 181–212 (2002)
  4. Maartens, R., Kazuya K.: Brane-world gravity. Living Reviews in Relativity. 13 (1), 5 (2010)
  5. Overduin, J.M., Wesson, P.S.: Kaluza-klein gravity. Physics Reports. 283 (5–6), 303–378 (1997)
  6. Wesson, P.S.: Space-Time-Matter: Modern Kaluza-Klein Theory. World Sicentific. Singapore (1999).