Corvino-Schoen theorem and supertranslations at spatial infinity
Marc Henneaux
TL;DR
This paper extends the Corvino-Schoen gluing theorem to include supertranslations at spatial infinity, highlighting the role of logarithmic supertranslations in the construction.
Contribution
It introduces a natural extension of the Corvino-Schoen theorem to account for supertranslations at spatial infinity, incorporating logarithmic supertranslations.
Findings
Extended the gluing theorem to supertranslations at spatial infinity
Identified the role of logarithmic supertranslations in the construction
Provided a framework for incorporating supertranslations in geometric analysis
Abstract
It is shown how the gluing theorem due to Corvino and Shoen can be naturally extended to accommodate supertranslations at spatial infinity. Logarithmic supertranslations play an intersting role in the construction.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Algebraic structures and combinatorial models · Mathematics and Applications