Higher Dimensional Cosmology with Some Dark Energy Models in Emergent, Logamediate and Intermediate Scenarios of the Universe

TL;DR

This paper explores higher-dimensional cosmology models with various dark energy fields across emergent, logamediate, and intermediate universe scenarios, analyzing scalar potentials and cosmological parameters.

Contribution

It introduces a framework for analyzing higher-dimensional cosmology with multiple dark energy models in different universe expansion scenarios.

Findings

Potential forms of scalar fields are derived and analyzed.

Graphical analysis of statefinder and slow-roll parameters is provided.

Higher-dimensional models exhibit distinct behaviors in different scenarios.

Abstract

We have considered N-dimensional Einstein field equations in which four-dimensional space-time is described by a FRW metric and that of extra dimensions by an Euclidean metric. We have chosen the exponential forms of scale factors a and d numbers of b in such a way that there is no singularity for evolution of the higher dimensional Universe. We have supposed that the Universe is filled with K-essence, Tachyonic, Normal Scalar Field and DBI-essence. Here we have found the nature of potential of different scalar field and graphically analyzed the potentials and the fields for three scenario namely Emergent Scenario, Logamediate Scenario and Intermediate Scenario. Also graphically we have depicted the geometrical parameters named statefinder parameters and slow-roll parameters in the higher dimensional cosmology with the above mentioned scenarios.