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arXiv · 1109.0902

Relativit\'e g\'en\'erale: solutions exactes stationnaires

Gérard Clément
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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.

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Gérard Clément. 2011-09-05. Relativit\'e g\'en\'erale: solutions exactes stationnaires. https://arxiv.org/abs/1109.0902

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