Inverse volume corrections to emergent tachyonic inflation in loop quantum cosmology

TL;DR

This paper explores how inverse volume corrections in loop quantum cosmology influence emergent tachyonic inflation, revealing conditions for eternal oscillations and transition to inflation.

Contribution

It introduces a model combining inverse volume corrections with tachyon fields in loop quantum cosmology, identifying equilibrium points and conditions for emergent inflation.

Findings

Existence of a center equilibrium point allowing eternal oscillations.

Critical potential value triggers transition from oscillation to inflation.

Constraints on tachyon field velocity are necessary for successful inflation.

Abstract

The emergent model in the context of loop quantum cosmology with a tachyon scalar field is studied. We find that there is a center equilibrium point in the semiclassical region and a saddle point in the classical region. If the potential of the tachyon field satisfies some conditions, the universe can stay at the center equilibrium point past-eternally and then oscillate infinitely around this point with the tachyon climbing up its potential. Once the potential reaches a critical value, these two equilibrium points coincide with each other and the oscillation phase is broken by an emergent inflation. In order to obtain a successful emergent tachyon inflation, a constraint on $\dot{\phi}^2$ of tachyon is required.