Implementing Power Law Inflation with Tachyon Rolling on the Brane

TL;DR

This paper explores how a tachyon field can induce power law inflation within brane world cosmology, deriving specific potentials and comparing with scalar field models to understand inflationary dynamics.

Contribution

It constructs a tachyonic potential that implements power law inflation on the brane, showing its reduction to an inverse square potential at late times and comparing with scalar field models.

Findings

Tachyon potential ${V_0 \, \phi^{-1}}$ induces power law inflation on the brane.

Inverse square potential leads to power law inflation with a normal scalar field.

Potential reduces to inverse square form at late times when brane effects are negligible.

Abstract

We study a minimally coupled tachyon field rolling down to its ground state on the FRW brane. We construct tacyonic potential which can implements power law inflation in the brane world cosmology. The potential turns out to be ${V_0 \phi^{-1}}$ on the brane and reduces to inverse square potential at late times when brane corrections to the Friedmann equation become negligible. We also do similar exercise with a normal scalar field and discover that the inverse square potential on the brane leads to power law inflation.