Relativité générale: solutions exactes stationnaires
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.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2011
- DOI:
- 10.48550/arXiv.1109.0902
- arXiv:
- arXiv:1109.0902
- Bibcode:
- 2011arXiv1109.0902C
- Keywords:
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- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- Lectures given at the 3e Ecole de Physique Theorique de Jijel (Algeria), Sept. 2009. 52 pages, in French