This week's Mathematical Sciences Department colloquium is given by Dr. Mohammad M Akbar, Senior Lecturer of the Department of Mathematical Sciences, The University of Texas at Dallas.
Ricci-flat metrics are one of three categories of Einstein metrics and in Lorentzian signature they are the vacuum solutions of the Einstein equations. The first part of the talk will present a recent method of generating a one-parameter family of Ricci-flat metrics from old ones in the presence of two commuting hypersurface-orthogonal Killing vector fields (know as static axially symmetric solutions in relativity) as well as present various warped form of the famous Minkowski and other flat metrics in arbitrary dimensions. The second part of the talk will present a family of solitonic solutions (i.e. self-similar) of the Ricci flow equations that can be generated from solutions of the Einstein equations with scalar-matter sources in one less dimension.
Coffee will be served in FO 2.610F at 1:30 PM.
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