In this article, we investigate perfect fluid spacetimes equipped with concircular vector field.
At first, in a perfect fluid spacetime admitting concircular vector field, we prove that the …

We give new necessary and sufficient conditions on the Weyl tensor for generalized
Robertson-Walker (GRW) space-times to be perfect-fluid space-times. For GRW space …

We set the goal to study the properties of perfect fluid spacetimes endowed with the gradient
η-Ricci and gradient Einstein solitons.

The main aim of this manuscript is to characterize the general relativistic spacetimes with
Ricci and gradient Ricci solitons. It is proven that if the metric of a general relativistic …

First we introduce a new notion of Ricci-soliton and pseudo-Einstein for real hypersurfaces
in the noncompact complex hyperbolic quadric SO 2, m 0∕ SO 2 SO m. Next as an …

Recently, it is proven that generalized Robertson–Walker space-times in all orthogonal
subspaces of Gray's decomposition except one (unrestricted) are perfect fluid space-times …

The aim of this paper is to obtain the condition under which a pseudosymmetric spacetime to
be a perfect fluid spacetime. It is proven that a pseudosymmetric generalized Robertson …

At first, we show that a quasi-conformally flat perfect fluid spacetime is a de-Sitter spacetime
as well as a Robertson-Walker spacetime. We study this spacetime as a solution of\(f\left …

We introduce the notion of generalized Killing Ricci tensor for real hypersurfaces in the
complex hyperbolic quadric Q m ∗ = S O 2 , m 0 / S O 2 S O m \documentclass[12pt]{minimal} …

In this paper we assume that a perfect fluid is the source of the gravitational field while
analyzing the solutions to the Einstein field equations. With this new and innovative …