Abstract
In this paper, we study the effects of cosmological constant and expansion-free condition on the formulation of exact analytical solutions of relativistic stellar interior. For this purpose, we assume a non-static and non-diagonal cosmic stellar filament filled with anisotropic fluid configurations in a $\Lambda$ -dominated epoch. The assumption of considering the expansion-free condition has made the system develop a Minkowskian core, which suggests the relevance of our models in the study of cosmological voids. After evaluating the Darmois junction conditions, we have investigated the role of tidal forces in the maintenance of the conformal flat condition. We found that some of our solutions indicate the existence of thin shell at the expansion-free cylindrical hypersurfaces.
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