Asymptotic staticity and tensor decompositions with fast decay conditions [Elektronische Ressource] / Gastón Avila Alejandro. Betreuer: Helmut Friedrich

Albert Einstein InstituteGeometric Analysis and GravitationAsymptotic staticity and tensordecompositions with fast decayconditionsDissertationzur Erlangung des akademischen Grades"doctor rerum naturalium"(Dr. rer. nat.)in der Wissenschaftsdisziplin "Theoretische Physik"vonGastón Alejandro Avilaeingereicht bei derMathematisch-Naturwissenschaftlichen Fakultätder Universität Potsdamdurchgeführt in Golm amMax Planck Institut für Gravitationsphysikunter der Betreuung vonProf. Dr. Helmut FriedrichPotsdam, 5. Juli, 2011This work is licensed under a Creative Commons License: Attribution - Noncommercial - Share Alike 3.0 Germany To view a copy of this license visit http://creativecommons.org/licenses/by-nc-sa/3.0/de/ Published online at the Institutional Repository of the University of Potsdam: URL http://opus.kobv.de/ubp/volltexte/2011/5404/ URN urn:nbn:de:kobv:517-opus-54046 http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-54046 AbstractCorvino, Corvino and Schoen, Chruściel and Delay have shown the existence of alarge class of asymptotically flat vacuum initial data for Einstein’s field equations whichare static or stationary in a neighborhood of space-like infinity, yet quite general in theinterior. The proof relies on some abstract, non-constructive arguments which makes itdifficult to calculate such data numerically by using similarts.