# Geometry of black hole spacetimes

@article{Andersson2016GeometryOB, title={Geometry of black hole spacetimes}, author={Lars-Erik Andersson and Thomas Backdahl and Pieter Blue}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2016} }

These notes, based on lectures given at the summer school on Asymptotic Analysis in General Relativity, collect material on the Einstein equations, the geometry of black hole spacetimes, and the analysis of fields on black hole backgrounds. The Kerr model of a rotating black hole in vacuum is expected to be unique and stable. The problem of proving these fundamental facts provides the background for the material presented in these notes.
Among the many topics which are relevant for the…

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