A Note on Inflation with Tachyon Rolling on the Gauss-Bonnet Brane

TL;DR

This paper explores tachyonic inflation within brane world cosmology incorporating a Gauss-Bonnet term, providing exact solutions and discussing challenges in implementing existing proposals for tachyon condensate dynamics.

Contribution

It presents exact solutions for tachyonic inflation with exponential potential on the Gauss-Bonnet brane and analyzes the feasibility of previous theoretical proposals.

Findings

Derived exact slow roll solutions for tachyon inflation

Identified difficulties in applying existing tachyon condensate models

Enhanced understanding of inflation dynamics with Gauss-Bonnet corrections

Abstract

In this paper we study the tachyonic inflation in brane world cosmology with Gauss-Bonnet term in the bulk. We obtain the exact solution of slow roll equations in case of exponential potential. We attempt to implement the proposal of Lidsey and Nunes, astro-ph/0303168, for the tachyon condensate rolling on the Gauss-Bonnet brane and discuss the difficulties associated with the proposal.