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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Deruelle, N., Uzan, JP. Conservation laws for cosmological perturbations. Int J Theor Phys 36, 2461–2468 (1997). https://doi.org/10.1007/BF02768936
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DOI: https://doi.org/10.1007/BF02768936