Abstract
This work is devoted to understanding the dynamical instability of spherically symmetric space–time in the background of Einstein-Λ gravity. For this purpose, we have considered a spherical geometric distribution and assumed that it is filled with an anisotropic fluid. To proceed with our analysis, we have calculated the corresponding field as well as the mass function. We found nonlinear behavior of physical variables. To deal with that situation, we have subjected our system to the radial perturbations. We assume that after a particular era, our structural quantities have the same time dependence parameter. After linearizing the basic expressions, we have studied the impact of the cosmological constant in the modeling of relativistic stars. It is concluded that Λ tends to slow down the rate of spherical anisotropic collapse.
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