Symmetries of the Einstein Equations

Authors

Ian M. Anderson, Utah State UniversityFollow
C. Torre

Document Type

Article

Journal/Book Title/Conference

Physical Review Letters

Volume

70

Issue

23

Publication Date

6-7-1993

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

Published by American Physical Society in Physical Review Letters. Publisher PDF is available for download through link above.

Recommended Citation

Symmetries of the Einstein Equations (with C. Torre), Physical Rev. Let- ters 70 (1993), 3525–3529.