2 April 2012
Venue: Room 412
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Department of Mathematics seminar by Helmut Friedrich, Max Planck Institute for Gravitational Physics.
The gravitational radiation of objects like systems of stars or black holes is usually analysed in the context of solutions to Einstein’s 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.