Mathematics Colloquia and Seminars
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Asymptotic behavior of marginally trapped tubesQMAP Seminar
|Speaker: ||Catherine Williams, Stanford|
|Location: ||2112 MSB|
|Start time: ||Thu, Jan 29 2009, 3:10PM|
In recent years, the physical and mathematical properties of a class of spacetime hypersurfaces known as marginally trapped tubes (MTTs) have been widely investigated. This talk will focus on the asymptotic behavior of such MTTs in relation to traditional black hole event horizons. In particular, in the special case of spherical symmetry, we give conditions near the event horizon of a black hole spacetime which guarantee the existence and 'nice' asymptotic behavior of an MTT, for any matter model satisfying a natural energy condition. We will also discuss related results for a certain a type of matter model, the Higgs field (a self-gravitating nonlinear scalar field).