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.

Refined gluing for vacuum Einstein constraint equations

MAZZIERI, LORENZO
2014

Abstract

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.
File in questo prodotto:
File Dimensione Formato  
Refined_gluing_for_ECE - preprint.pdf

Accesso chiuso

Tipologia: Submitted version (pre-print)
Licenza: Non pubblico
Dimensione 277.56 kB
Formato Adobe PDF
277.56 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11384/36021
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 1
social impact