Gluing variations

Piotr T. Chruściel; Wan Cong

doi:10.48550/arXiv.2302.06928

Gluing variations

Piotr T. Chruściel
, Wan Cong (Corresponding author)

Gravitational Physics

Publications: Contribution to journal › Article › Peer Reviewed

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.

Original language	English
Article number	165009
Number of pages	36
Journal	Classical and Quantum Gravity
Volume	40
Issue number	16
DOIs	https://doi.org/10.48550/arXiv.2302.06928 https://doi.org/10.1088/1361-6382/ace494
Publication status	Published - 31 Aug 2023

Austrian Fields of Science 2012

103028 Theory of relativity
103019 Mathematical physics

Keywords

characteristic cauchy problem
mathematical relativity
relativity
spacetime gluing

Access to Document

10.48550/arXiv.2302.06928Licence: CC BY-SA 4.0
10.1088/1361-6382/ace494Licence: CC BY 4.0

https://phaidra.univie.ac.at/o:2037659Licence: CC BY 4.0

Cite this

@article{25b703a965494a2da4d3313bf00c51d0,

title = "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.",

keywords = "characteristic cauchy problem, mathematical relativity, relativity, spacetime gluing",

author = "Chru{\'s}ciel, \{Piotr T.\} and Wan Cong",

note = "Publisher Copyright: {\textcopyright} 2023 The Author(s). Published by IOP Publishing Ltd",

year = "2023",

month = aug,

day = "31",

doi = "10.48550/arXiv.2302.06928",

language = "English",

volume = "40",

journal = "Classical and Quantum Gravity",

issn = "0264-9381",

publisher = "IOP Publishing Ltd",

number = "16",

}

TY - JOUR

T1 - Gluing variations

AU - Chruściel, Piotr T.

AU - Cong, Wan

PY - 2023/8/31

Y1 - 2023/8/31

N2 - 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.

AB - 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.

KW - characteristic cauchy problem

KW - mathematical relativity

KW - relativity

KW - spacetime gluing

UR - https://www.scopus.com/pages/publications/85165933901

U2 - 10.48550/arXiv.2302.06928

DO - 10.48550/arXiv.2302.06928

M3 - Article

AN - SCOPUS:85165933901

SN - 0264-9381

VL - 40

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 16

M1 - 165009

ER -

Gluing variations

Abstract

Austrian Fields of Science 2012

Keywords

Access to Document

Other files and links

Fingerprint

Cite this