Dynamics of tachyon field in spatially curved FRW universe

TL;DR

This paper analyzes the behavior of a tachyon field combined with a barotropic fluid in a curved Friedmann-Robertson-Walker universe, focusing on phase-plane dynamics, stability of solutions, and potential forms.

Contribution

It introduces a phase-plane analysis for tachyon field dynamics in curved universes and constructs scalar potentials for stable solutions in open and closed cases.

Findings

Identification of scaling solutions and their stability.

Construction of scalar potentials for stable configurations.

Insights into tachyon field behavior in curved spacetime.

Abstract

The dynamics of a tachyon field plus a barotropic fluid is investigated in spatially curved FRW universe. We perform a phase-plane analysis and obtain scaling solutions accompanying with a discussion on their stability. Furthermore, we construct the form of scalar potential which may give rise to stable solutions for spatially open and closed universe separately.