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arXiv · 1012.3775

Geometric invariance of mass-like asymptotic invariants

Benoît Michel
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Abstract

We study coordinate-invariance of some asymptotic invariants such as the ADM mass or the Chruściel-Herzlich momentum, given by an integral over a "boundary at infinity". When changing the coordinates at infinity, some terms in the change of integrand do not decay fast enough to have a vanishing integral at infinity; but they may be gathered in a divergence, thus having vanishing integral over any closed hypersurface. This fact could only be checked after direct calculation (and was called a "curious cancellation"). We give a conceptual explanation thereof.

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Benoît Michel. 2010-12-20. Geometric invariance of mass-like asymptotic invariants. https://doi.org/10.1063/1.3579137

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