Study of Tachyonic Field and its statefinder diagnostics in Various Scenarios of The Anisotropic Universe

TL;DR

This paper explores the dynamics of a tachyonic field in an anisotropic universe across various cosmological scenarios, reconstructing potentials and analyzing statefinder diagnostics to understand the universe's evolution.

Contribution

It reconstructs tachyonic field potentials in N-dimensional anisotropic universes under multiple emergent scenarios and investigates their statefinder parameters.

Findings

Potential functions for tachyonic fields are reconstructed in different scenarios.

Statefinder diagnostics are analyzed for each scenario.

The study provides insights into the universe's evolution with tachyonic fields in higher dimensions.

Abstract

In the present work, we have considered N-dimensional Einstein field equations in which 4-dimensional space-time is described by a FRW metric and that of the extra d-dimensions by an Euclidean metric. Considering the universe filled with tachyonic field we have reconstructed the potential $V(\phi)$ corresponding to the field reconstructions in an anisotropic universe under \emph{Emergent-Power law}, \emph{Emergent-Intermediate}, \emph{Emergent-Logamediate}and \emph{Logamediate-Intermediate} scenarios. The statefinder parameters have been investigated in all of the said scenarios.