New Results on the Perfect Fluid Lorentzian Para-Sasakian Spacetimes

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Tarih

2025

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Prof. Dr. Mehmet Zeki SARIKAYA

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this article, we investigate L P-Sasakian spacetimes attached with perfect fluid whose metrics are (CERY)4-soliton admitting Z-tensor. Also we discuss the application of such soliton to cosmology and general relativity. Besides this, we deduce a modified Poisson equation and modified Liouville equation from the (CERY)4-soliton on L P-Sasakian spacetimes. In addition, we light up the harmonic aspect of such soliton on perfect fluid L P-Sasakian spacetimes. Moreover, we conclude a necessary and sufficient condition for a 1-form η♯, which is the g⋆-dual of the vector field ξ on such a spacetime to be a solution of the Schrödinger-Ricci equation. In conclusion, we present an instance of a 4-dimensional L P-Sasakian spacetime with the (CERY)4-soliton equipped with Z-tensor. © 2025, Prof. Dr. Mehmet Zeki SARIKAYA. All rights reserved.

Açıklama

Anahtar Kelimeler

conformal η-Ricci-Yamabe soliton. Schrödinger-Ricci equation, generalized Z tensor, L P-Sasakian manifold, modified Poisson equation and modified Liouville equation

Kaynak

Konuralp Journal of Mathematics

WoS Q Değeri

Scopus Q Değeri

Q3

Cilt

13

Sayı

1

Künye