Cosmological Scaling Solutions of Multiple Tachyon Fields with Inverse Square Potentials

TL;DR

This paper explores the cosmological behavior of multiple tachyon fields with inverse square potentials, identifying stable scaling solutions and their dependence on parameters and matter content in flat FRW models.

Contribution

It provides a phase-space analysis revealing the existence and stability conditions of power-law scaling solutions for multiple tachyon fields with inverse square potentials.

Findings

The potential-kinetic-scaling solution is a global attractor.

In the presence of a barotropic fluid, the attractor depends on parameter regions.

Tracking solutions serve as attractors in certain parameter regimes.

Abstract

We investigate cosmological dynamics of multiple tachyon fields with inverse square potentials. A phase-space analysis of the spatially flat FRW models shows that there exists power-law cosmological scaling solutions. We study the stability of the solutions and find that the potential-kinetic-scaling solution is a global attractor. However, in the presence of a barotropic fluid the solution is an attractor only in one region of the parameter space and the tracking solution is an attractor in the other region. We briefly discuss the physical consequences of these results.