Wefirstshowthattheconnectedsumalongsubmanifoldsintroducedbythesecond author for compact initial data sets of the vacuum Einstein system can be adapted to the asymptotically Euclidean and to the asymptotically hyperbolic context. Then, we prove that in every case, and generically, the gluing procedure can be localized, in order to obtain new solutions which coincide with the original ones outside of a neighborhood of the gluing locus.
|Titolo:||Refined gluing for vacuum Einstein constraint equations|
|Data di pubblicazione:||2014|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1007/s10711-013-9948-9|
|Appare nelle tipologie:||1.1 Articolo in rivista|