Stable accelerating universe with no hair

TL;DR

This paper examines the classical stability of accelerating universes driven by quintessence fields, specifically in closed geometries with a constant equation of state, and suggests they have a 'no-hair' property.

Contribution

It demonstrates the classical stability of closed accelerating universes with a specific quintessence equation of state and introduces the 'no-hair' conjecture for such cosmological models.

Findings

Closed universe with ω=-2/3 is classically stable.

Accelerating universes driven by quintessence are conjectured to have 'no-hair'.

Provides stability analysis for specific cosmological conditions.

Abstract

After reviewing the main characteristics of the spacetime of accelerating universes driven by a quintessence scalar field with constant equation of state $\omega$, we investigate in this paper the classical stability of such spaces to cosmological perturbations, particularizing in the case of a closed geometry and equation of state $\omega=-2/3$. We conclude that this space is classically stable and conjecture that accelerating universes driven by quintessential fields have "no-hair".