Relativit\'e g\'en\'erale: solutions exactes stationnaires
General Relativity and Quantum Cosmology
2011-09-06 v1 High Energy Physics - Theory
Abstract
After a brief summary of the foundations of general relativity, we will concentrate on the stationary exact solutions of the Einstein and Einstein-Maxwell equations. A number of these solutions can be interpreted as black holes, corresponding to a special spacetime geometry. Then, we will show that the reformulation of the stationary Einstein-Maxwell equations as a gravitating sigma model provides us with a powerful tool to generate new solutions.
Keywords
Cite
@article{arxiv.1109.0902,
title = {Relativit\'e g\'en\'erale: solutions exactes stationnaires},
author = {Gérard Clément},
journal= {arXiv preprint arXiv:1109.0902},
year = {2011}
}
Comments
Lectures given at the 3e Ecole de Physique Theorique de Jijel (Algeria), Sept. 2009. 52 pages, in French