Phys. Rev. Lett. 70, 3525–3529 (1993)Symmetries of the Einstein equationsReceived 26 February 1993; published in the issue dated 7 June 1993 We classify all generalized symmetries of the vacuum Einstein equations in four spacetime dimensions. They consist of constant scalings of the metric, and of the infinitesimal action of generalized spacetime diffeomorphisms. Our results rule out a large class of possible ‘‘observables’’ for the gravitational field, and suggest that the vacuum Einstein equations are not integrable. © 1993 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.70.3525
DOI:
10.1103/PhysRevLett.70.3525
PACS:
04.20.Cv, 02.90.+p, 04.20.Me
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