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Conservation laws for cosmological perturbations

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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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References

  • Abbott, L. F., Traschen, J., and Xu Rui-Ming (1988).Nuclear Physics B,296, 710.

    Article  ADS  MathSciNet  Google Scholar 

  • Deruelle, N., Katz, J., and Uzan, J. P. (1997).Classical and Quantum Gravity,14, 1.

    Article  MathSciNet  Google Scholar 

  • Katz, J. (1996). InGravitational Dynamics, O. Lahav, E. Terlevitch, and R. J. Terlevitch, eds., Cambridge University Press, p. 193.

  • Katz, J., Bičak, J., and Lynden-Bell, D. (1996).Physical Review D, to be published.

  • Landau, D., and Lifschitz, D. (1962). Theorie des champs, edition MIR.

  • Traschen, J. (1984).Physical Review D,29, 1563.

    Article  ADS  Google Scholar 

  • Traschen, J. (1985),Physical Review D,31, 283.

    Article  ADS  MathSciNet  Google Scholar 

  • Traschen, J., and Eardley, D. (1986).Physical Review D,34, 1665.

    Article  ADS  Google Scholar 

  • Traschen, J., Turok, N., and Brandenberger, R. (1986).Physical Review D,34, 919.

    Article  ADS  Google Scholar 

  • Uzan, J. P., and Turok, N. (n.d.). Using conservation laws to study cosmological perturbations in curved universes, preprint.

  • Veeraraghavan, S., and Stebbins, A. (1990).Astrophysical Journal,365, 37–65.

    Article  ADS  Google Scholar 

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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

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