Department of Mathematics
Title : Einstein manifolds with a Killing vector field
| Speaker: Sean Curry Affiliation: University of Auckland Time: 10am Friday, 18 November, 2011 Location: G10, 70 Symonds St |
Abstract
| Stationary spacetimes in general relativity are Lorentzian signature Einstein manifolds which possess a timelike Killing vector field. The general approach to studying these manifolds is to use the timelike symmetry to perform "dimensional reduction." We instead look at the prolongation of the Einstein condition and the (conformal) Killing equation from the point of view of conformal tractor calculus. I will discuss the prolongation approach and it's relationship to the dimensional reduction approach, particularly for the static case where the orthogonal distribution to the Killing vector field is integerable. |
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Programmes and Centres
- New Zealand Institute of Mathematics and its Applications (NZIMA)
- Community for Understanding and Learning in the Mathematical Sciences (CULMS)
- Centre for Mathematical Social Science (CMSS)
- Department of Computer Science
- Department of Engineering Science
- Department of Physics
- Department of Statistics
- Auckland Bioengineering Institute
