On the Connectedness of the Space of Initial Data for the Einstein Equations
نویسنده
چکیده
Is the space of initial data for the Einstein vacuum equations connected? As a partial answer to this question, we prove the following result: Let M be the space of asymptotically flat metrics of non-negative scalar curvature on R3 which admit a global foliation outside a point by 2-spheres of positive mean and Gauss curvatures. Then M is connected.
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