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With due consideration of reasonable cosmological assumptions within thelimit of the present cosmological scenario, we have analysed a sphericallysymmetric metric in 5D setting within the framework of Lyra manifold. The modeluniverse is predicted to be a DE model, dominated by vacuum energy. The modelrepresents an oscillating model, each cycle evolving with a big bang and endingat a big crunch, undergoing a series of bounces. The universe is isotropic andundergoes super-exponential expansion. The value of Hubble's parameter ismeasured to be $H=67.0691$ which is very close to$H_0=67.36\pm0.54kms^{-1}Mpc^{-1}$, the value estimated by the latest Planck2018 result. A detailed discussion on the cosmological parameters obtained isalso presented with graphs.

A Higher Dimensional Cosmological Model for the Search of Dark Energy Source