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In this work a class of interior solution for Einstein field equationscorresponding to a spherically symmetric anisotropic fluid sphere has beenobtained under the assumption that the cosmological constant is spatiallyvariable. The solution obtained has the characteristics that the pressure andthe cosmological parameter vanish at the centre and at the boundary with amaximum value somewhere inside the body. It has been argued that a variable $\Lambda $ is as much important physically in Astrophysics as in Cosmology.

A class of solutions for Einstein field equations with spatially varying cosmological constant in spherically symmetric anisotropic source