Abstract
Conditions are found for the existence of integral constraints on stress-energy perturbations in general relativity. The integral constraints can be thought of as a general-relativistic generalization of the conservation of energy and momentum of matter perturbations in special relativity. The constraints are stated in terms of a vector field V→, and the Robertson-Walker spacetimes are shown to have such constraint vectors. Although in general V→ is not a Killing vector, in a vacuum spacetime the constraint vectors are precisely the Killing vectors.
- Received 17 July 1984
DOI:https://doi.org/10.1103/PhysRevD.31.283
©1985 American Physical Society