Journal of Innovation in Applied Research (eISSN: 2581-4206)

In this paper, Einstein's Field equations for locally-Rotationally - Symmetric Bianchi type -II space time in the presence of stiff fluid matter and variable cosmological term are considered. To obtain the exact solution of Non - linear differential equations, we assume timedecaying cosmological term of the forms, Λ= α a^./a, where a being average scale factor, By using a special law of variation for Hubble's parameter [Berman, M.S. (1983). Nuovo cimento, B 74,182], which yields a constant value of deceleration parameter. A detail study of Physical parameters is carried out. The nature of singularities is also discussed.