4 papers
Totally geodesic null hypersurfaces and constancy of surface gravity in Finsler spacetimes
Ettore Minguzzi
We define and study totally geodesic null hypersurfaces in Finsler spacetimes. We prove that the null convergence condition and a certain mild gravitational equation , imp…
Compact Cauchy horizons admit constant surface gravity
Raymond A. Hounnonkpe, Ettore Minguzzi
We prove that in any spacetime dimension and under the null energy condition, every totally geodesic connected smooth compact null hypersurface (hence every compact Cauchy horizon)…
Regularity and temperature of stationary black hole event horizons
R. A. Hounnonkpe, E. Minguzzi
Available proofs of the regularity of stationary black hole event horizons rely on certain assumptions on the existence of sections that imply a differentiability assumption.…
Horizon classification via Riemannian flows
R. A. Hounnonkpe, E. Minguzzi
We point out that the geometry of connected totally geodesic compact null hypersurfaces in Lorentzian manifolds is only slightly more specialized than that of Riemannian flows over…