Symmetries of the Einstein Equations

Authors

Charles G. Torre, Utah State UniversityFollow
Ian M. Anderson, Utah State UniversityFollow

Document Type

Article

Journal/Book Title/Conference

Physical Review D

Volume

70

Issue

23

Publisher

American Physical Society

Publication Date

1993

First Page

3525

Last Page

3529

Abstract

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.

Comments

Originally published by the American Physical Society. Publisher's PDF can be accessed through Physical Review Letters

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Recommended Citation

C.G. Torre and I.M. Anderson, Symmetries of the Einstein equations, Physical Review Letters, vol. 70, Jun. 1993, p. 3525.