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Calendar of Physics Talks Vienna
| The Beig-Krammer tensor on the three sphere |
| Speaker: | Walter Simon (Univ. Wien) |
| Abstract: | Motivated by the conformal method of solving the constraints in General Relativity,R.Beig and W.Krammer constructed,on any 3‐dimensional conformally flat Riemannian manifold M, a symmetric, tracefree two‐tensor out of an arbitrary vector V and a conformal Killing vector W (and their derivatives). If V is divergence free, so is the Beig‐
Krammer tensor ‐ hence it can serve as ADM momentum density in vacuum, (possibly with cosmological constant).We examine the very special case that M is the round three sphere and that V and W are Killing vectors and compare with the known "donut" case. The application of this tensor to the initial value problem becomes particularly interesting in view of a recent theorem by Premoselli which in essence settles the question of (non‐)existence of solutions of the Lichnerowicz equation on compact
Riemannian three manifolds. This is ongoing work with P. Bizon. |
| Date: | Thu, 16.08.2018 |
| Time: | 14:00 |
| Duration: | 60 min |
| Location: | Arbeitsgruppe Gravitation, Währinger Strasse 17, Raum 218, 2. Stock, 1090 Wien |
| Contact: | P.T. Chrusciel |
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