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New examples of static spacetimes admitting a unique standard decomposition

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Author
Albujer, Alma L.
Herrera, Jónatan
Rubio, Rafael M.
Publisher
SpringerLink
Date
2019
Subject
Standard static spacetime
Standard static splitting
GlobalKilling vector field
Maximal hypersurface
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Abstract
In this paper we introduce a new general approach for the study of spacetimes admitting a standard static splitting. This approach allows us to give an alternative proof for the uniqueness of splitting in the spatially closed case to the first study made by Sánchez–Senovilla and later by Aledo–Romero–Rubio. However, our technique also allows us to obtain new uniqueness results for standard static models with complete (non necessarily compact) spacelike bases under some mild hypothesis, including some restrictions on the sectional curvature of such bases.
URI
http://hdl.handle.net/10396/18079
Fuente
General Relativity and Gravitation (2019) 51:39
Versión del Editor
https://doi.org/10.1007/s10714-019-2525-2
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