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Decay in outgoing null directions of solutions of the massive Dirac equation in certain asymptotically flat, static spacetimes

Treude, Jan-Hendrik (2015) Decay in outgoing null directions of solutions of the massive Dirac equation in certain asymptotically flat, static spacetimes. PhD, Universität Regensburg.

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Date of publication of this fulltext: 21 Aug 2015 15:49

Abstract (English)

The topic of the thesis at hand is the massive Dirac equation on certain asymptotically flat, static spacetimes. Using analytical methods for hyperbolic equations, the behaviour of solutions of this equation at infinity of the manifold is analyzed, more precisely at so-called lightlike infinity. Specifically, it is studied to what extent solutions decay to zero at lightlike infinity. The ...

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Translation of the abstract (German)

Gegenstand der vorliegenden Arbeit ist die massive Dirac Gleichung auf gewissen statischen, asymptotisch flachen Lorentz-Mannigfaltigkeiten. Mittels analytischer Methoden für hyperbolische Gleichungen wird untersucht, wie sich Lösungen dieser Gleichung im Unendlichen der Mannigfaltigkeit, genauer im lichtartigen Unendlichen, verhalten. Spezieller geht es um die Fragestellung, inwiefern die ...

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Export bibliographical data



Item type:Thesis of the University of Regensburg (PhD)
Date:21 August 2015
Referee:Prof. Dr. Felix Finster
Date of exam:16 April 2015
Institutions:Mathematics > Prof. Dr. Felix Finster
Classification:
NotationType
35Q41MSC
58J45MSC
02.30.JrPACS
Keywords:DIrac equation, decay estimate, null directions, asymptotically flat spacetimes, hyperbolic equation, Lippmann-Schwinger equation
Dewey Decimal Classification:500 Science > 510 Mathematics
500 Science > 530 Physics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:32344
Owner only: item control page

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