Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci‐Yamabe Metric

Ali H. Alkhaldi, Mohd Danish Siddiqi, Meraj Ali Khan and Lamia Saeed Alqahtani

Advances in Mathematical Physics, 2021, vol. 2021, issue 1

Abstract: 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.

Date: 2021
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https://doi.org/10.1155/2021/2485804

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:2485804

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