I will present a geometric characterization of all possible 4-dimensional real analytic vacuum spacetimes near non-degenerate Killing horizons.
This result applies in particular to bifurcate horizons (e.g. black hole event horizons) and non-degenerate compact Cauchy horizons in real analytic vacuum spacetimes, since classical results of Hawking and Moncrief-Isenberg (and recent generalizations thereof) show that such horizons are non-degenerate Killing horizons. This is joint work with Klaus Kröncke.
Oliver Peterson (Uppsala): Non-degenerate Killing horizons in analytic vacuum spacetimes
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