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An Invitation to Lorentzian Geometry

Olaf Müller·Miguel Sánchez
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Abstract

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.

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Olaf Müller, Miguel Sánchez. 2014-01-19. An Invitation to Lorentzian Geometry. https://arxiv.org/abs/math/0604265

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