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Dergiler / International Electronic Journal of Geometry / 2021 / Volume: 14 Issue: 2

Sequential Warped Products and Their Applications

Sinem Güler(ISTANBUL SABAHATTIN ZAIM UNIVERSITY)0000-0001-9994-2927
Sayfa
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Yayın Tarihi
2021-10-29
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we terminate this work with some examples for this structure.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we study the sequential warped product manifolds, which are the natural generalizations of singly warped products.
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Temel Bulgular & Veri:Many spacetime models that characterize the universe and the solutions of Einstein's field equations are known to have this new structure.
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Sonuç & Katkı:Finally, we terminate this work with some examples for this structure.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Sequential warped product · concircular curvature tensor · generalized Robertson-Walker spacetime

Abstract

In this paper, we study the sequential warped product manifolds, which are the natural generalizations of singly warped products. Many spacetime models that characterize the universe and the solutions of Einstein's field equations are known to have this new structure. For this reason, first, we investigate the geometry of sequential warped product manifold under some conditions of concircular curvature tensor. We also study the conformal and gradient almost Ricci solitons on the sequential warped product. These conditions allow us to obtain some interesting expressions for the Riemann curvature and the Ricci tensors of its base and fiber from the geometrical and the physical point of view. Then, we give two important applications of this concept in the Lorentzian settings, which are sequential generalized Robertson-Walker spacetimes and sequential standard static spacetimes and obtain the form of the warping functions. Also, by considering generalized quasi Einsteinian conditions on these spacetimes, we find some specific formulas for the Ricci tensors of the bases and fibers. Finally, we terminate this work with some examples for this structure.

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Bu Makaleye Atıf Yap

Güler, S. (2021). Sequential Warped Products and Their Applications. International Electronic Journal of Geometry, Volume: 14 Issue: 2. https://doi.org/10.36890/iejg.937419

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