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

TL;DR

This paper proposes a 5D cosmological model within Lyra geometry that describes an oscillating, isotropic universe dominated by dark energy, with expansion rates consistent with Planck 2018 observations.

Contribution

It introduces a higher-dimensional (5D) cosmological model in Lyra geometry that predicts an oscillating universe with super-exponential expansion and aligns with current Hubble parameter measurements.

Findings

Universe modeled as oscillating with big bang and crunch cycles

Hubble parameter closely matches Planck 2018 data

Universe undergoes super-exponential expansion

Abstract

With due consideration of reasonable cosmological assumptions within the limit of the present cosmological scenario, we have analysed a spherically symmetric metric in 5D setting within the framework of Lyra manifold. The model universe is predicted to be a DE model, dominated by vacuum energy. The model represents an oscillating model, each cycle evolving with a big bang and ending at a big crunch, undergoing a series of bounces. The universe is isotropic and undergoes super-exponential expansion. The value of Hubble's parameter is measured 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 Planck 2018 result. A detailed discussion on the cosmological parameters obtained is also presented with graphs.