Shear-free stellar solutions in $\Lambda$ Λ -dominated era

Abstract

The exact analytical collapsing solutions have been explored under the effects of cosmological constant with shear-free condition. We have considered the geometry to be spherically symmetric, which is filled with anisotropic matter distribution. An explicit link has been constructed between the inhomogeneous forces with material profile. The Darmois matching conditions are explored by assuming suitable geometry as an exterior spacetime. We continued our investigation of exact solutions in two different scenarios. The first one is done by restraining the mass function as a main ingredient while the second one includes particular restrictions on the matter profile and equation of state. We found that some of the obtained solutions satisfy the Darmois matching conditions.