Conservation laws for cosmological perturbations
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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.
KeywordsPhysical Review Killing Vector Minkowski Spacetime Surface Term Christoffel Symbol
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