Article
Symmetries of the Einstein Equations
Physical Review D
Document Type
Article
Publisher
American Physical Society
Publication Date
1-1-1993
Disciplines
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.
Citation Information
C.G. Torre and I.M. Anderson, Symmetries of the Einstein equations, Physical Review Letters, vol. 70, Jun. 1993, p. 3525.
Originally published by the American Physical Society. Publisher's PDF can be accessed through Physical Review Letters
.