An Invitation to Lorentzian Geometry
Olaf Müller, Miguel Sánchez
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.
Create a lesson
Related papers
A note on the BRST-BV Formalism Explanation of Deformation Quantization and Algebraic Index Theorem
Lihao Zhao
Biharmonic submanifolds in nonpositive space forms
Yu Fu, Min-chun Hong, Dan Yang
Conjugate radius and parabolicity along the Ricci flow
Chandan Kumar Mondal
Pure Spinor Factorization of Belinski-Zakharov Solitons and Regular Gravitational Instantons
Steffen Aksteiner
Flexibility of Laplace-Beltrami eigenfunctions under metric variation
Andrei Agrachev, Nicola Da Ponte, Antonio Lerario et al.
C1-rigidity of Hp,q-convex cocompact representations of Gromov hyperbolic groups
Nikolay Bogachev