Constraints on stress-energy perturbations in general relativity

Details Constraints on stress-energy perturbations in general relativity Constraints on stress-energy perturbations in general relativity

Jan 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..31..283t&link_type=abstract

Physical Review D (Particles and Fields), Volume 31, Issue 2, 15 January 1985, pp.283-289

Physics

62

Relativity And Gravitation

Scientific paper

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.

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