Global foliations of matter spacetimes with Gowdy symmetry

TL;DR

This paper proves a global existence theorem for Gowdy symmetric solutions of the Einstein-Vlasov system, encompassing matter and gravitational waves, using a geometrically defined time coordinate.

Contribution

It establishes a global existence result for a broad class of matter-filled, gravitational wave-containing spacetimes with Gowdy symmetry, for arbitrary initial data.

Findings

Proves global existence of solutions with Gowdy symmetry.

Includes matter and gravitational waves in the analysis.

Applies to arbitrary initial data sizes.

Abstract

A global existence theorem, with respect to a geometrically defined time, is shown for Gowdy symmetric globally hyperbolic solutions of the Einstein-Vlasov system for arbitrary (in size) initial data. The spacetimes being studied contain both matter and gravitational waves.