Rest Frame System for Asymptotically Flat Spacetimes
General Relativity and Quantum Cosmology
2009-11-07 v1
Abstract
The notion of center of mass for an isolated system has been previously encoded in the definition of the so called nice sections. In this article we present a generalization of the proof of existence of solutions to the linearized equation for nice sections, and formalize a local existence proof of nice sections relaxing the radiation condition. We report on the differentiable and non-self-crossing properties of this family of solutions. We also give a proof of the global existence of nice sections.
Keywords
Cite
@article{arxiv.gr-qc/0203075,
title = {Rest Frame System for Asymptotically Flat Spacetimes},
author = {Osvaldo M. Moreschi and Sergio Dain},
journal= {arXiv preprint arXiv:gr-qc/0203075},
year = {2009}
}
Comments
26 pages, LaTeX2e