Recent progress in general relativity

  • Peter Hintz

    ETH Zürich, Departement Mathematik, Rämistrasse 101, 8092 Zürich, Switzerland
  • Gustav Holzegel

    Universität Münster, Mathematisches Institut, Einsteinstrasse 62, 48149 Münster,
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Abstract

We review recent progress in general relativity. After a brief introduction to some of the key analytical and geometric features of the Einstein equations, we focus on two main developments: the stability of black hole solutions, and the formation, structure, and dynamical stability of singularities.