The Einstein metrics with smooth scri

We consider solutions of the Einstein equations with cosmological constant Λ ≠ 0 admitting conformal compactification with smooth scri. Metrics are written in the Bondi–Sachs coordinates and expanded into inverse powers of the affine distance r . Unlike in the case Λ = 0 all free data are located on...

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Bibliographic Details
Published inGeneral relativity and gravitation Vol. 54; no. 9
Main Author Tafel, J.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.09.2022
Springer Nature B.V
Subjects
Angular momentum
Astronomy
Astrophysics and Cosmology
Classical and Quantum Gravitation
Cosmological constant
Differential equations
Differential Geometry
Einstein equations
Gravity
Mathematical analysis
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Research Article
Theoretical
Conformal compactification
The Bondi–Sachs coordinates
The Einstein metrics
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Summary:We consider solutions of the Einstein equations with cosmological constant Λ ≠ 0 admitting conformal compactification with smooth scri. Metrics are written in the Bondi–Sachs coordinates and expanded into inverse powers of the affine distance r . Unlike in the case Λ = 0 all free data are located on the scri. They are constrained by linear differential equations for the Bondi mass and angular momentum aspects. Given free data components of metric are defined in a recursive way.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-022-02986-5