# Symmetries of cosmological Cauchy horizons

@article{Moncrief1983SymmetriesOC, title={Symmetries of cosmological Cauchy horizons}, author={Vincent Moncrief and James Allen Isenberg}, journal={Communications in Mathematical Physics}, year={1983}, volume={89}, pages={387-413} }

We consider analytic vacuum and electrovacuum spacetimes which contain a compact null hypersurface ruled byclosed null generators. We prove that each such spacetime has a non-trivial Killing symmetry. We distinguish two classes of null surfaces, degenerate and non-degenerate ones, characterized by the zero or non-zero value of a constant analogous to the “surface gravity” of stationary black holes. We show that the non-degenerate null surfaces are always Cauchy horizons across which the Killing…

## 162 Citations

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We prove that the surface gravity of a compact non-degenerate Cauchy horizon in a smooth vacuum spacetime, can be normalized to a non-zero constant. This result, combined with a recent result by…

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