Implementing power law inflation with rolling techyon on the brane

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 cos- mology. The potential turns out to be V0φ−1 on the brane and reduces to inverse square potential at ate 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