Department of Mathematics


Title : Conformal structures of static vacuum data
Speaker: Helmut Friedrich
Affiliation: Max Planck Institute for Gravitational Physics
Time: 2:00 pm Monday, 2 April, 2012
Location: Room 412, Building 303
Abstract
The gravitational radiation of objects like systems of stars or black holes is usually analysed in the context of solutions to Einsteins field equations which are asymptotically flat. R. Penrose suggested that the conformal structures of such solutions extend smoothly to null infinity, the ideal place where a natural notion of gravitational radiation can be defined for the non-linear theory. In this talk we consider time reflection symmetric data, discuss recent results which seem to indicate that static data play a special role in their analysis, and present a new result which characterizes the gap between conditions which are necessary and conditions which are sufficient for the field to develop the desired smoothness of the asymptotic structure.


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