Global Foliations of Vacuum Spacetimes withT2Isometry

✍ Scribed by Beverly K. Berger; Piotr T. Chruściel; James Isenberg; Vincent Moncrief

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 468 KB
• Volume: 260
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1997.5707

✦ Synopsis

We prove a global existence theorem (with respect to a geometrically defined time) for globally hyperbolic solutions of the vacuum Einstein equations which admit a T 2 isometry group with two-dimensional spacelike orbits, acting on T 3 spacelike surfaces.

1997 Academic Press 1. INTRODUCTION One of the ways in which to begin to study the behavior of solutions of complicated partial differential equation systems like the Einstein equations is to focus on families of solutions with some prescribed symmetry. This has long been a practice in general relativity, and hence, much has been learned about solutions article no.