A Matter with an effective EoS interacting with a tachynic field in an accelerating Universe

TL;DR

This paper investigates a cosmological model with a parameterized equation of state interacting with a tachyonic field in an accelerating universe, analyzing the behavior of the field and potential over cosmic time.

Contribution

It introduces a novel interaction model between a generalized fluid and a tachyonic field, deriving the field and potential forms for different interaction scenarios.

Findings

The potential V(φ) approaches zero as time progresses.

The model successfully describes an accelerating universe with a specific scale factor.

Graphical analysis illustrates the evolution of the tachyonic field and potential.

Abstract

We consider a fluid described by a parameterized EoS of the general form $P=(\gamma-1)\rho+p_{0}+\omega_{H}H+\omega_{H2}H^{2}+\omega_{dH}\dot{H}$ \cite{Ren}, where $p_{0}$, $\omega_{H}$, $\omega_{H2}$ and $\omega_{dH}$ are free parameters of the model, interacting with a Tachyonic field with a relativistic Lagrangian $L_{TF}=-V(\phi)\sqrt{1-\partial_{i}\phi\partial^{i}\phi}$. The acceleration of the Universe described by a scale factor $a(t)=t^{n}, (n>1)$. Under consideration of different forms of interaction the field $\phi$ and the potential $V(\phi)$ are recovered and graphical analysis performed. For illustration purposes we fixed values of parameters of the models to provide $V \rightarrow 0$ for later stages of evolution, when $t \rightarrow \infty$.