Compact Cauchy horizons in vacuum spacetimes

General Relativity, Geometry and Analysis: beyond the first 100 years after Einstein

19 November 10:00 - 11:00

Oliver Lindblad Petersen - Universität Hamburg

Moncrief and Isenberg conjectured in 1983 that any compact Cauchy horizon in a smooth vacuum spacetime is a smooth Killing horizon. They have proven the conjecture (in dimension 3+1), under the assumptions that the spacetime metric is analytic and the generators are “non-ergodic”. In this talk, we prove that any compact Cauchy horizon with constant non-zero surface gravity in a smooth (as opposed to analytic) vacuum spacetime is a smooth Killing horizon. The method relies on new energy estimates and Carleman estimates for wave equations close to compact Cauchy horizons. This is partly joint work with I. Racz.
Lars Andersson
Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Mattias Dahl
KTH Royal Institute of Technology
Philippe G. LeFloch
Sorbonne University
Richard Schoen
University of California, Irvine


Mattias Dahl


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