ABSTRACT In this paper, we introduce the perfect fluid space‐time, soliton, and concircular vector field of a statistical manifold. We explore both geometric and physical properties of statistical perfect fluid space‐times under a framework of almost statistical solitons. We prove key results related to the divergence of almost statistical solitons vector fields. Explicit relations of differentiable functions, conditions associated with the statistical concircular vector fields, are stated. Also, the interaction of statistical solitons conditions with vector fields associated with a statistical Ricci curvature is investigated, and constraints on scalar fields and curvature tensors are obtained.
Asali et al. (Wed,) studied this question.
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