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Title:
A geometric analysis view on spacetimes: stability and singularities
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Abstract:
I will overview, in a non-technical manner, some recent mathematical results on the Einstein equations of general relativity, especially on understanding nonlinear geometry-matter interactions. Are self-gravitating matter fields nonlinearly stable near Minkowski spacetime ? In what quantitative sense does the curvature provide a control of the spacetime geometry ? What happens when two plane gravitational waves collide ? Blog: philippelefloch.org
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