Geometrical aspects of a perfect fluid spacetime are described in terms of different curvature tensors and -Ricci and -Einstein solitons in a perfect fluid spacetime are determined. Conditions for the Ricci soliton to be steady, expanding or shrinking are also given. In a particular case when the potential vector field of the soliton is of gradient type, , we derive a Poisson equation from the soliton equation.
"Solitons and geometrical structures in a perfect fluid spacetime." Rocky Mountain J. Math. 50 (1) 41 - 53, Febuary 2020. https://doi.org/10.1216/rmj.2020.50.41