Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci-Yamabe Metric | Zendy

Ali H. Alkhaldi | Zendy; Mohd Danish Siddiqi | Zendy; Meraj Ali Khan | Zendy; Lamia Saeed Alqahtani | Zendy

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Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci-Yamabe Metric

Author(s) -

Ali H. Alkhaldi,

Mohd Danish Siddiqi,

Meraj Ali Khan,

Lamia Saeed Alqahtani

Publication year - 2021

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2021/2485804

Subject(s) - yamabe flow , metric (unit) , spacetime , imperfect , mathematics , mathematical physics , physics , scalar curvature , geometry , philosophy , curvature , linguistics , operations management , quantum mechanics , sectional curvature , economics

In the present paper, we investigate the nature of Ricci-Yamabe soliton on an imperfect fluid generalized Robertson-Walker spacetime with a torse-forming vector field ξ . Furthermore, if the potential vector field ξ of the Ricci-Yamabe soliton is of the gradient type, the Laplace-Poisson equation is derived. Also, we explore the harmonic aspects of η -Ricci-Yamabe soliton on an imperfect fluid GRW spacetime with a harmonic potential function ψ . Finally, we examine necessary and sufficient conditions for a 1 -form η , which is the g -dual of the vector field ξ on imperfect fluid GRW spacetime to be a solution of the Schrödinger-Ricci equation.

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