2002/03/31 by Piotr T. Chrusciel, Piotr T Chrusciel, Erwann Delay · 143 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Construct (python library) #Cosmology and Gravitation Theories #Extension (predicate logic) #Geometric Analysis and Curvature Flows #Infinity #Schwarzschild metric #Schwarzschild radius #Simple (philosophy) #gr-qc
paper · pdf · doi:10.1088/0264-9381/19/9/101
published in Classical and Quantum Gravity 19(9), L71-L79 (IOP Publishing) · An uncorrectly justified claim about adding Einstein Rosen bridges withdrawn
openalex publication_date 2002/04/08 · arxiv created 2002/04/25 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We construct non-trivial vacuum spacetimes with a global + . The construction proceeds by proving extension results for initial data sets across compact boundaries, adapting the gluing arguments of Corvino and Schoen. Another application of the extension results is the existence of initial data which are exactly Schwarzschild both near infinity and near each of the connected component of the apparent horizon. Finally, the construction allows one to add Einstein–Rosen bridges to time-symmetric initial data sets at points satisfying a local parity condition, with the perturbation of the metric localized in an arbitrarily small neighbourhood of the bridge.