Gluing variations

Autor(en)

Piotr T. Chruściel, Wan Cong

Abstrakt

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.

Organisation(en)

Gravitationsphysik

Journal

Classical and Quantum Gravity

Band

40

Anzahl der Seiten

36

ISSN

0264-9381

DOI

https://doi.org/10.48550/arXiv.2302.06928

Publikationsdatum

08-2023

Peer-reviewed

Ja

ÖFOS 2012

103028 Relativitätstheorie, 103019 Mathematische Physik

Schlagwörter

ASJC Scopus Sachgebiete

Physics and Astronomy (miscellaneous)

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/25b703a9-6549-4a2d-a4d3-313bf00c51d0