In this paper the problem of comparing initial data to a reference solution for the vacuum
Einstein field equations is considered. This is not done in a coordinate sense, but through
quantification of the deviation from a specific symmetry. In a recent paper [T. B¨ackdahl, J.A.
Valiente Kroon, Phys. Rev. Lett. 104, 231102 (2010)] this problem was studied with the
Kerr solution as a reference solution. This analysis was based on valence 2 Killing spinors. In
order to better understand this construction, in the present article we analyse the analogous
construction for valence 1 spinors solving the twistor equation. This yields an invariant that
measures how much the initial data deviates from Minkowski data. Furthermore, we prove
that this invariant vanishes if and only of the mass vanishes. Hence, we get a proof of the
positivity of mass.
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原文发布时间:2010/11/17
引用本文:
Thomas Bäckdahl;Juan A. Valiente Kroon .Approximate twistors and positive mass .http://ynufe.firstlight.cn/View.aspx?infoid=1004157&cb=wxm2010.
发布时间:2010/11/17.检索时间:2024/12/16