“…Some of the discussions on the cosmological constant problem and consequences on the cosmology with a time-varying cosmological constant have been discussed by Dolgov [29], Sahni and Starobinsky [30], Peebles and Ratra [31], Padmanabhan [32], Vishwakarma [33][34][35], Triay [36] and Kilinc [37], Bertolami [38,39], Chen and Wu [40], Carvalho et al [41], Berman [42,43], Abdel-Rahman [44], Lima and Maia [45]. Al-Rawaf [46] and Overduin and Cooperstock [47] have proposed a cosmological model with a cosmological constant of the form ∝ (R R ). Following the same decay law, Arbab [48] has investigated cosmic acceleration with a positive cosmological constant which is equivalent to ∝ H 2 on dimensional ground.…”