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Journals / International Electronic Journal of Geometry / 2023 / Volume: 16 Issue: 2

Geometry of Twisted Products and Applications on Static Perfect Fluid Spacetimes

Sinem Güler(ISTANBUL SABAHATTIN ZAIM UNIVERSITY)0000-0001-9994-2927
U.c. De(University of Calcutta)0000-0002-8990-4609
Bülent Ünal(BİLKENT ÜNİVERSİTESİ)0000-0002-9563-8108
Pages
—
Publication Date
2023-10-29
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, we study the problem of the existence static perfect fluid spacetime associated with the twisted generalized Robertson-Walker and standard static spacetime metrics.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, first we study the harmonicity of the functions and forms on the twisted products, and then we determine its sectional curvature.
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Key Findings & Data:We explore some characteristics of static perfect fluid and static vacuum spacetimes on twisted product manifolds by proving the existence and obstructions on Ricci curvature.
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Conclusion & Impact:Finally, we study the problem of the existence static perfect fluid spacetime associated with the twisted generalized Robertson-Walker and standard static spacetime metrics.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Twisted product · gradient Ricci soliton · static perfect fluid

Abstract

In this paper, first we study the harmonicity of the functions and forms on the twisted products, and then we determine its sectional curvature. We explore some characteristics of static perfect fluid and static vacuum spacetimes on twisted product manifolds by proving the existence and obstructions on Ricci curvature. Finally, we study the problem of the existence static perfect fluid spacetime associated with the twisted generalized Robertson-Walker and standard static spacetime metrics.

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Cite This Article

Güler, S., De, U., Ünal, B. (2023). Geometry of Twisted Products and Applications on Static Perfect Fluid Spacetimes. International Electronic Journal of Geometry, Volume: 16 Issue: 2. https://doi.org/10.36890/iejg.1286525

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