Power-Law Inflation from the Rolling Tachyon

TL;DR

This paper presents an exact solution for power-law inflation driven by a rolling tachyon field with an inverse square potential, expanding understanding of tachyon cosmology and inflationary models.

Contribution

It introduces a specific inverse square potential for the tachyon field and derives exact solutions demonstrating power-law inflation, providing new analytical insights.

Findings

Power-law inflation occurs for $eta > 2\sqrt{3}/3$.

Exact solutions are constructed for the tachyon-driven universe.

The model expands the class of analytically solvable inflationary scenarios.

Abstract

Modeling the potential by an inverse square law in terms of the tachyon field ($V(T)=\beta T^{-2}$) we find exact solution for spatially flat isotropic universe.We show that for $\beta>2\sqrt{3}/3$ the model undergoes power-law inflation. A way to construct other exact solutions is specified and exemplified.