Asymptotic singular behavior of Gowdy spacetimes in string theory

TL;DR

This paper analyzes the asymptotic behavior of Gowdy spacetimes within string theory, demonstrating that they typically exhibit velocity-term dominated singularities and do not necessarily become Mixmaster, despite potential couplings.

Contribution

It applies the Fuchsian algorithm to Gowdy spacetimes in the Einstein-Maxwell-dilaton-axion system, revealing their generic asymptotic singularity structure and dependence on arbitrary functions.

Findings

Most Gowdy spacetimes have velocity-term dominated singularities.

Couplings do not necessarily lead to Mixmaster behavior.

Solutions depend on the maximum number of arbitrary functions.

Abstract

We study $T^{3}$ Gowdy spacetimes in the Einstein-Maxwell-dilaton-axion system and show by the Fuchsian algorithm that they have in general asymptotically velocity-term dominated singularities. The families of the corresponding solutions depend on the maximum number of arbitrary functions. Although coupling of the dilaton field with the Maxwell and/or the axion fields corresponds to the ``potential'' which appears in the Hamiltonian of vacuum Bianchi IX spacetimes, our result means that the spacetimes do not become Mixmaster necessarily.