Bulg. J. Phys. vol.46 no.3 (2019), pp. 163-173

Ricci ρ-Soliton and Geometrical Structure in a Dust Fluid and Viscous Fluid Spacetime

M.D. Siddiqi
Department of Mathematics Faculty of Science, Jazan University, Jazan Kingdom of Saudi Arabia
Abstract. The present discourse is based on the geometrical bearing of dust fluid and viscous fluid spacetime in terms of Ricci ρ-soliton and η-Ricci ρ-soliton in viscous fluid and dust fluid spacetime with torse-forming vector field ξ. A condition for the Ricci ρ-soliton to be steady, expanding or shrinking is also given. In particular case when the potential vector filed ξ of the soliton is of gradient type, we derive, from the η-Ricci ρ-soliton equation, a Laplacian equation.

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