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BIBTEX RIS

Symmetries of the Einstein equations

1993; American Physical Society; Volume: 70; Issue: 23 Linguagem: Inglês

10.1103/physrevlett.70.3525

ISSN

1092-0145

Autores

Charles G Torre, Ian Anderson,

Tópico(s)

Advanced Differential Geometry Research

Resumo

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.

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