Olaf Müller, Miguel Sánchez
Published 2006-04-12, updated 2014-01-19Version 2
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.
Comments: 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
Journal: Jahresbericht der Deutschen Mathematiker-Vereinigung (2013): 1-31
Groupoid symmetry and constraints in general relativity
On the validity of the definition of angular momentum in general relativity
On the center of mass in general relativity
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