Conservation laws for cosmological perturbations |
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Authors: | Nathalie Deruelle Jean-Philippe Uzan |
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Affiliation: | (1) Département d'Astrophysique Relativiste et de Cosmologie, UPR 176 du Centre National de la Recherche Scientifique, Observatoire de Paris, 92195 Meudon, France;(2) DAMTP, University of Cambridge, CB3 9EW Cambridge, England |
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Abstract: | We briefly recall the problem of defining conserved quantities such as energy in general relativity, and the solution given 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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