Regularity of Horizons and The Area Theorem

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dc.creatorChruściel, Piotr T.
dc.creatorDelay, Erwann
dc.creatorGalloway, Gregory J.
dc.creatorHoward, Ralph
dc.date2000-01-03
dc.date2000-11-13
dc.date.accessioned2026-07-07T03:24:41Z
dc.date.available2026-07-07T03:24:41Z
dc.descriptionWe prove that the area of sections of future event horizons in space-times satisfying the null energy condition is non-decreasing towards the future under any one of the following circumstances: 1) the horizon is future geodesically complete; 2) the horizon is a black hole event horizon in a globally hyperbolic space-time and there exists a conformal completion with a ``H-regular'' Scri plus; 3) the horizon is a black hole event horizon in a space-time which has a globally hyperbolic conformal completion. (Some related results under less restrictive hypotheses are also established.) This extends a theorem of Hawking, in which piecewise smoothness of the event horizon seems to have been assumed. No assumptions about the cosmological constant or its sign are made. We prove smoothness or analyticity of the relevant part of the event horizon when equality in the area inequality is attained - this has applications to the theory of stationary black holes, as well as to the structure of compact Cauchy horizons. In the course of the proof we establish several new results concerning the differentiability properties of horizons.
dc.descriptionfinal version to appear in Annales Henri Poincare, various changes as suggested by a referee, in particular a section on Krolak's area theorems added
dc.identifierhttps://arxiv.org/abs/gr-qc/0001003
dc.identifierhttp://arxiv.org/abs/gr-qc/0001003
dc.identifierAnnales Henri Poincare 2 (2001) 109-178
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33424
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleRegularity of Horizons and The Area Theorem
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