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Time asymmetric spacetimes near null and spatial infinity

Monday 14th November 2005 - 16:00 to 17:00
INI Seminar Room 1

This talk is concerned with the implementation, in a non-time symmetric setting, of Friedrich's regular value problem near spatial infinity for the Conformal Einstein equations. Computer algebra methods are used to calculate a particular type of asymptotic expansions and to deduce a hierarchy of obstructions to the smoothness of null infinity. These calculations show, for example, that the development of Bowen-York initial data does not admit a smooth null infinity (if any). The relevance of these calculations on the light of the so-called Penrose's proposal is discussed.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons