Relativité générale: solutions exactes stationnaires

Details Relativité générale: solutions exactes stationnaires Relativité générale: solutions exactes stationnaires

2011-09-05

arxiv.org/abs/1109.0902v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Lectures given at the 3e Ecole de Physique Theorique de Jijel (Algeria), Sept. 2009. 52 pages, in French

Scientific paper

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.

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