On the center of mass of isolated systems with general asymptotics

We propose a definition of center of mass for asymptotically flat manifolds satisfying the Regge-Teitelboim condition at infinity. This definition has a coordinate-free expression and natural properties. Furthermore, we prove that our definition is consistent both with the one proposed by Corvino an...

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Bibliographic Details
Published in:Classical and quantum gravity 2009-01, Vol.26 (1), p.015012-015012 (25)
Main Author: Huang, Lan-Hsuan
Format: Article
Language:English
Subjects:
Exact sciences and technology
General relativity and gravitation
Physics
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Summary:We propose a definition of center of mass for asymptotically flat manifolds satisfying the Regge-Teitelboim condition at infinity. This definition has a coordinate-free expression and natural properties. Furthermore, we prove that our definition is consistent both with the one proposed by Corvino and Schoen and another by Huisken and Yau. The main tool is a new density theorem for data satisfying the Regge-Teitelboim condition.
ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/26/1/015012