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Phys. Rev. Lett. 93, 231101 (2004) [4 pages]

A New Geometric Invariant on Initial Data for the Einstein Equations

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Sergio Dain
Albert-Einstein-Institut, am Mühlenberg 1, D-14476, Golm, Germany

Received 14 July 2004; published 1 December 2004

For a given asymptotically flat initial data set for Einstein equations a new geometric invariant is constructed. This invariant measures the departure of the data set from the stationary regime; it vanishes if and only if the data are stationary. In vacuum, it can be interpreted as a measure of the total amount of radiation contained in the data.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.231101
DOI:
10.1103/PhysRevLett.93.231101
PACS:
04.20.Ex, 04.20.Cv, 04.20.Fy, 04.20.Ha

Electronic address: dain@aei.mpg.de