Qualitative evolution in higher-loop string cosmology
arXiv:gr-qc/9812082 · doi:10.1088/0264-9381/16/6/331
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.
35 pages, 9 GIF figures
References in corpus (39)
- New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
- Towards a non-singular pre-big bang cosmology
- Duality and Dilaton
- Symmetries of higher-order string gravity actions
- Instability of 1-loop superstring cosmology
- A Model of Graceful Exit in String Cosmology
- Large radii and string unification
- Vacuum fluctuations in axion-dilaton cosmologies
- Cosmological Solutions in String Theories
- The Generalized Dilaton Supersymmetry Breaking Scenario
- String and M-Theory Cosmological Solutions with Ramond Forms
- Duality Beyond the First Loop
- Modular Invariant Formulation of Multi-Gaugino and Matter Condensation
- Cosmological Solutions of Type II String Theory
- Universality properties of N=2 and N=1 Heterotic threshold corrections
- Supersymmetry breaking and weakly vs. strongly coupled string theory
- A New Approach to String Cosmology
- Graceful Exit and Energy Conditions in String Cosmology
- On non-perturbative corrections to the Kahler potential
- Pre-big bang bubbles from the gravitational instability of generic string vacua
- Kantowski-Sachs String Cosmologies
- S-duality Invariant Perturbations in String Cosmology
- Inhomogeneous String Cosmologies
- Scales and Cosmological Applications of M Theory
- String Kaluza-Klein cosmologies with RR-fields
- Phase-plane analysis of Friedmann-Robertson-Walker cosmologies in Brans-Dicke gravity
- Singularities In Scalar-Tensor Cosmologies
- Classical Inhomogeneities in String Cosmology
- Spatially Homogeneous String Cosmologies
- Singularity and exit problems in two-dimensional string cosmology
- Cosmological solutions, p-branes and the Wheeler-DeWitt equation
- Stringy Toda Cosmologies
- Can String Theory Avoid Cosmological Singularities?
- Stabilizing dilaton and moduli vacua in string and M--Theory cosmology
- Notes on Axion, Inflation and Graceful Exit in Stringy Cosmology
- Singularity Free (Homogeneous Isotropic) Universe in Graviton-Dilaton Models
- Early Universe Evolution in Graviton-Dilaton Models
- Higher Loop String Cosmology with Moduli and Antisymmetric Tensor Field
- A note on inflationary string cosmology