An Invitation to Lorentzian Geometry
微分几何
2014-01-21 v2 广义相对论与量子宇宙学
摘要
The intention of this article is to give a flavour of some global problems in General Relativity. We cover a variety of topics, some of them related to the fundamental concept of 'Cauchy hypersurfaces': (1) structure of globally hyperbolic spacetimes, (2) the relativistic initial value problem, (3) constant mean curvature surfaces, (4) singularity theorems, (5) cosmic censorship and Penrose inequality, (6) spinors and holonomy.
引用
@article{arxiv.math/0604265,
title = {An Invitation to Lorentzian Geometry},
author = {Olaf Müller and Miguel Sánchez},
journal= {arXiv preprint arXiv:math/0604265},
year = {2014}
}
备注
This new version extends and updates widely the previous one, with new topics and around the the double of pages and references. 34 pages, Latex