Qualitative evolution in higher-loop string cosmology

TL;DR

This paper explores the evolution of the universe in string cosmology with loop corrections, analyzing stability and phase space for different models and discussing dilaton stabilization mechanisms.

Contribution

It provides a generic dynamical systems analysis of higher-loop string cosmology models without specifying dilaton coupling functions, including stability and phase space diagrams.

Findings

Critical points and stability regions identified for various universe geometries

Phase space diagrams illustrating different evolutionary scenarios

Discussion on dilaton stabilization via Damour-Polyakov mechanism

Abstract

We investigate the evolution of the homogeneous and isotropic universe within the framework of the effective string gravity with string-loop modifications of dilaton couplings. In the case of barotropic perfect fluid as a nongravitational source the set of cosmological equations is presented in the form of the third-order autonomous dynamical system. The cases are considered when this system is integrable in terms of integrals depending on dilaton coupling functions. Without specifying these functions we describe generic evolution of the universe, using dynamical systems methods. The critical points and their stability are found for all regions of the parameters. The qualitatively different phase space diagrams are presented for the spatially-flat, closed and open universes. The case of the tree-level models is considered separately. The issue of dilaton stabilization is discussed within the framework of Damour-Polyakov mechanism.