Yıl: 2023 Cilt: 47 Sayı: 4 Sayfa Aralığı: 1236 - 1246 Metin Dili: İngilizce DOI: 10.55730/1300-0098.3423 İndeks Tarihi: 14-03-2024

Perfect fluid spacetimes and k -almost Yamabe solitons

Öz:
In this article, we presumed that a perfect fluid is the source of the gravitational field while analyzing the solutions to the Einstein field equations. With this new and creative approach, here we study k -almost Yamabe solitons and gradient k -almost Yamabe solitons. First, two examples are constructed to ensure the existence of gradient k -almost Yamabe solitons. Then we show that if a perfect fluid spacetime admits a k -almost Yamabe soliton, then its potential vector field is Killing if and only if the divergence of the potential vector field vanishes. Besides, we prove that if a perfect fluid spacetime permits a k -almost Yamabe soliton ( g, k, ρ, λ ), then the integral curves of the vector field ρ are geodesics, the spacetime becomes stationary and the isotopic pressure and energy density remain invariant under the velocity vector field ρ . Also, we establish that if the potential vector field is pointwise collinear with the velocity vector field and ρ(a) = 0 where a is a scalar, then either the perfect fluid spacetime represents a phantom era, or the potential function Φ is invariant under the velocity vector field ρ . Finally, we prove that if a perfect fluid spacetime permits a gradient k -almost Yamabe soliton ( g, k, DΦ, λ ) and R, λ, k are invariant under ρ , then the vorticity of the fluid vanishes.
Anahtar Kelime: Perfect fluids k-almost Yamabe solitons Robertson-Walker spacetimes

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA De K, DE U, Gezer A (2023). Perfect fluid spacetimes and k -almost Yamabe solitons. , 1236 - 1246. 10.55730/1300-0098.3423
Chicago De Krishnendu,DE UDAY CHAND,Gezer Aydin Perfect fluid spacetimes and k -almost Yamabe solitons. (2023): 1236 - 1246. 10.55730/1300-0098.3423
MLA De Krishnendu,DE UDAY CHAND,Gezer Aydin Perfect fluid spacetimes and k -almost Yamabe solitons. , 2023, ss.1236 - 1246. 10.55730/1300-0098.3423
AMA De K,DE U,Gezer A Perfect fluid spacetimes and k -almost Yamabe solitons. . 2023; 1236 - 1246. 10.55730/1300-0098.3423
Vancouver De K,DE U,Gezer A Perfect fluid spacetimes and k -almost Yamabe solitons. . 2023; 1236 - 1246. 10.55730/1300-0098.3423
IEEE De K,DE U,Gezer A "Perfect fluid spacetimes and k -almost Yamabe solitons." , ss.1236 - 1246, 2023. 10.55730/1300-0098.3423
ISNAD De, Krishnendu vd. "Perfect fluid spacetimes and k -almost Yamabe solitons". (2023), 1236-1246. https://doi.org/10.55730/1300-0098.3423
APA De K, DE U, Gezer A (2023). Perfect fluid spacetimes and k -almost Yamabe solitons. Turkish Journal of Mathematics, 47(4), 1236 - 1246. 10.55730/1300-0098.3423
Chicago De Krishnendu,DE UDAY CHAND,Gezer Aydin Perfect fluid spacetimes and k -almost Yamabe solitons. Turkish Journal of Mathematics 47, no.4 (2023): 1236 - 1246. 10.55730/1300-0098.3423
MLA De Krishnendu,DE UDAY CHAND,Gezer Aydin Perfect fluid spacetimes and k -almost Yamabe solitons. Turkish Journal of Mathematics, vol.47, no.4, 2023, ss.1236 - 1246. 10.55730/1300-0098.3423
AMA De K,DE U,Gezer A Perfect fluid spacetimes and k -almost Yamabe solitons. Turkish Journal of Mathematics. 2023; 47(4): 1236 - 1246. 10.55730/1300-0098.3423
Vancouver De K,DE U,Gezer A Perfect fluid spacetimes and k -almost Yamabe solitons. Turkish Journal of Mathematics. 2023; 47(4): 1236 - 1246. 10.55730/1300-0098.3423
IEEE De K,DE U,Gezer A "Perfect fluid spacetimes and k -almost Yamabe solitons." Turkish Journal of Mathematics, 47, ss.1236 - 1246, 2023. 10.55730/1300-0098.3423
ISNAD De, Krishnendu vd. "Perfect fluid spacetimes and k -almost Yamabe solitons". Turkish Journal of Mathematics 47/4 (2023), 1236-1246. https://doi.org/10.55730/1300-0098.3423