Existence of non-trivial, vacuum, asymptotically simple space-times

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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An uncorrectly justified claim about adding Einstein Rosen bridges withdrawn

Scientific paper

10.1088/0264-9381/19/9/101

We construct non-trivial vacuum space-times with a global Scri. The construction proceeds by proving extension results across compact boundaries for initial data sets, adapting the gluing arguments of Corvino and Schoen. Another application of the extension results is existence of initial data which are exactly Schwarzschild both near infinity and near each of the connected component of the apparent horizon.

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