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Conservation Laws for Cosmological Perurbations

Nathalie Deruelle, Jean-Philippe Uzan

gr-qcarXiv:gr-qc/9804049

Abstract

We briefly recall the problem of defining conserved quantities such as energy in general relativity, and the solution by introducing a symmetric background. We apply the general formalism to perturbed Robertson-Walker spacetimes with de Sitter geometry as background. We relate the obtained conserved quantities to Traschen's integral constraints and mention a few applications in cosmology.

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