New Results on the Perfect Fluid Lorentzian Para-Sasakian Spacetimes

Yadav S. K., YILDIZ A.

Konuralp Journal of Mathematics, cilt.13, sa.1, ss.1-13, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2025
  • Dergi Adı: Konuralp Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1-13
  • Anahtar Kelimeler: conformal η-Ricci-Yamabe soliton. Schrödinger-Ricci equation, generalized Z tensor, L P-Sasakian manifold, modified Poisson equation and modified Liouville equation
  • İnönü Üniversitesi Adresli: Evet

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.