Flat Spacetimes with Compact Hyperbolic Cauchy Surfaces
微分几何
2007-05-23 v1 数学物理
math.MP
摘要
In this paper we study the flat (n+1)-spacetimes admitting a Cauchy surface diffeomorphic to a compact hyperbolic n-manifold. We show how to construct a canonical future complete one among all such spacetimes sharing the same holonomy. We study the geometry of such a spacetime in terms of its canonical cosmological time. In particular we study the asymptotic behaviour of the level surfaces of the cosmological time. The present work generalizes the case n=2 treated by Mess, taking from a work of Benedetti and Guadagnini the emphasis on the fundamental role played by the canonical cosmological time.
引用
@article{arxiv.math/0311019,
title = {Flat Spacetimes with Compact Hyperbolic Cauchy Surfaces},
author = {Francesco Bonsante},
journal= {arXiv preprint arXiv:math/0311019},
year = {2007}
}
备注
59 pages, 9 figures