Inflation Induced by Vacuum Energy and Graceful Exit from it

TL;DR

This paper models early universe inflation driven by a vacuum energy that decreases as 1/logt, demonstrating a natural transition from rapid inflation to expansion within a brane cosmology framework.

Contribution

It introduces a novel approach where a time-dependent vacuum energy causes a smooth exit from inflation, based on solving Einstein equations with a specific vacuum energy scaling.

Findings

Universe transitions from inflation to expansion naturally.

Vacuum energy scaling as 1/logt drives inflationary dynamics.

Model aligns with brane cosmology assumptions.

Abstract

Motivated by brane cosmology we solve the Einstein equations with a time dependent cosmological constant. Assuming that at an early epoch the vacuum energy scales as $1/logt $, we show that the universe passes from a fast growing phase (inflation) to an expanding phase in a natural way.