All supersymmetric degenerate Killing horizons with closed spatial cross sections in D=11 supergravity are either isometric to near-horizon geometries or have vanishing spinorial Lie derivative and are pp-waves when possessing more than 13 supersymmetries.
No horizons in pp-waves
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abstract
We argue that pp-wave backgrounds can not admit event horizons. We also comment on pp-wave generalizations which would admit horizons and show that there exists a black string solution which asymptotes to a five dimensional plane wave background.
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2026 1verdicts
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Classification of Killing Horizons in D=11 Supergravity
All supersymmetric degenerate Killing horizons with closed spatial cross sections in D=11 supergravity are either isometric to near-horizon geometries or have vanishing spinorial Lie derivative and are pp-waves when possessing more than 13 supersymmetries.