The solution of tachyon inflation in curved universe

TL;DR

This paper explores tachyonic field-driven inflation in a curved universe, providing exact solutions for cosmological parameters and analyzing the field's role during cosmic evolution.

Contribution

It presents new exact solutions for tachyonic inflation in curved spacetime and examines the field's impact on different stages of the universe's evolution.

Findings

Derived exact solutions for field, pressure, density, and scale factor.

Analyzed the role of tachyonic field in various evolutionary stages.

Obtained a kink-shaped tachyonic field profile.

Abstract

In this paper, we have considered the curved universe which is filled by tachyonic field. We have found the exact solutions for the field, pressure, density, and scale factor and some cosmological parameters. In such universe, we have investigated the role of tachyonic field in different stages of k for the evolution of the universe. Finally we draw the graphs for the scale factor, Hubble's parameter, energy density, pressure, acceleration parameter, equation of state and potential for the different values of k. Also we obtained the exact form of field which shows that the tachyonic field has the kink form.