A Note on Brane Inflation

TL;DR

This paper shows that slow-roll inflation can occur on the positive tension brane in the Randall-Sundrum model, driven by a scalar field, but not on the negative tension brane, with implications for brane separation.

Contribution

It demonstrates the existence of slow-roll inflation on the positive tension brane within the Randall-Sundrum scenario, highlighting the role of the radion field and brane tension.

Findings

Inflation occurs on the positive tension brane with a slight increase in brane separation.

Inflation is driven by a scalar field in the perturbative radion limit.

No slow-roll inflation is possible on the negative tension brane.

Abstract

We demonstrate that there exists an inflationary solution on the positive tension brane in the Randall-Sundrum scenario. Inflation is driven by a slow-rolling scalar field on the brane and is achieved within the perturbative limit of the radion field. We find that inflation on the positive tension brane results in a slight increase in the separation between the two branes. However, we show that the slow-roll inflation is not possible on the negative tension brane.