Uniqueness for the vacuum Einstein equations


FABRICE PLANCHON,


Université Paris 13 (Francia)


jueves 15 de abril 2010



The pioneering work of Y. Choquet-Bruhat on the Cauchy problem in general relativity assumed uniqueness for a reduced system (fixing the gauge with wave coordinates), and all subsequent works had left this question open. We will present results closing this gap and explain how uniqueness up to diffeomorphism is a direct consequence of the geometric structure of the equations.