On Concircular Structure Spacetimes

Abstract

This study presents a study of concircular structure spacetimes which are connected 4-dimensional Lorentzian concircular structure manifolds

On Concircular Structure Spacetimes II

“…Since the integral curves of in a (CS) 4 -spacetime are geodesics [7] , the Roy-Choudhuri equation [5] for the fluid in a (CS) 4 -spacetime can be written as:…”

“…Then in [7] the present authors studied its several applications to general relativity and physics. In this study we extend the study of [7] and investigate some other interesting applications to relativity and cosmology.…”

“…Then in [7] the present authors studied its several applications to general relativity and physics. In this study we extend the study of [7] and investigate some other interesting applications to relativity and cosmology. After preliminaries, we study perfect fluid non-flat (CS) 4 -spacetimes and proved that if in such a spacetime the square of the length of the Ricci-operator is (1/3)r 2 , then the spacetime can not contain pure matter and also in such a spacetime the pressure of the fluid is positive for α 2 >ρ and negative for α 2 >ρ, α, ρ being non-zero scalars associated with the (CS) 4 -spacetime.…”

On φ-pseudo Symmetries of (LCS)n-Manifolds

“…Then Shaikh and Baishya ( [26], [27]) investigated the applications of (LCS) n -manifolds to the general theory of relativity and cosmology. The (LCS) nmanifolds is also studied by Atceken [2], Hui and Atceken [16], Shaikh [25], Shaikh and Binh [31], Shaikh and Hui [32], Sreenivasa, Venkatesha and Bagewadi [33] and others.…”

Warped product pseudo-slant submanifolds of (LCS)_n-manifolds

“…Then Shaikh and Baishya ( [22], [23]) investigated the applications of (LCS) n -manifolds to the general theory of relativity and cosmology. The (LCS) n -manifolds is also studied by Hui [9], Hui and Atceken ([3], [10]), Shaikh and his co-authors ( [21], [24], [25], [26], [27]) and many others.…”