Titel
Gluing variations
Abstract
We establish several results on gluing/embedding/extending geometric structures in vacuum spacetimes with a cosmological constant in any spacetime dimensions d ⩾ 4 , with emphasis on characteristic data. A useful tool is provided by the notion of submanifold-data of order k. As an application of our methods we prove that vacuum Cauchy data on a spacelike Cauchy surface with boundary can always be extended to vacuum data defined beyond the boundary.
Stichwort
spacetime gluingcharacteristic cauchy problemrelativitymathematical relativity
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
phaidra.univie.ac.at/o:2037659
Erschienen in
Titel
Classical and Quantum Gravity
Band
40
Ausgabe
16
ISSN
0264-9381
Erscheinungsdatum
2023
Publication
IOP Publishing
Erscheinungsdatum
2023
Zugänglichkeit
Rechte
Rechteangabe
© 2023 The Author(s)
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