Stability of the de-Sitter spacetime. The anisotropic case

TL;DR

This paper investigates the stability of anisotropic de-Sitter spacetime using a non-perturbative $O(D,D)$-symmetric approach, revealing how stability depends on the dilaton's dynamics and exploring implications for pre-big bang cosmology.

Contribution

It introduces a non-perturbative $O(D,D)$-symmetric framework to analyze anisotropic de-Sitter spacetime stability and discusses potential mechanisms for pre-big bang cosmology.

Findings

Stability depends on the sign of the generalized dilaton time derivative.

Possible mechanisms for pre-big bang cosmology are identified.

The approach provides a qualitative description of anisotropy perturbations.

Abstract

We elaborate on the cosmological implications of the recently established non-perturbative $O(D,D$)-symmetric approach. Following the $\alpha'$-complete Friedmann equations, we provide a qualitative description of the dynamics of anisotropy perturbations. We find that the spacetime stability depends on the sign of the generalized dilaton time derivative. We consider isotropic limits and find possible mechanism for pre-big bang cosmology, governed by the value of cosmological constant.