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Approximate twistors and positive mass

http://www.firstlight.cn2010/12/20

[作者] Thomas Bä ckdahl Juan A. Valiente Kroon

[单位] Queen Mary University of London

[摘要] 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 dev…

[关键词] Approximate twistors positive mass

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.

存档附件原文地址

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

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