C∞ perturbations of FRW models with a cosmological constant

Z. Perjés, M. Vasúth, V. Czinner, D. Eriksson

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7 Citations (Scopus)


Spatially homogeneous and Isotropic cosmological models, with a perfect fluid matter source and non-vanishing cosmological constant, are studied. The equations governing linear perturbations of the space-time and the variation of energy density are given. The complete solution of the problem is obtained for C∞ perturbations, using a comoving time. The Sachs-Wolfe fluctuations of the temperature of the cosmic background radiation are obtained for the relatively growing density perturbations. It is found that the observable celestial microwave fluctuation pattern underwent a reversal approximately two billion years ago. What is observed today is a negative image of the last scattering surface with an attenuation of the fluctuations, due to the presence of the cosmological constant.

Original languageEnglish
Pages (from-to)415-421
Number of pages7
JournalAstronomy and Astrophysics
Issue number2
Publication statusPublished - Feb 1 2005



  • Cosmology: cosmic microwave background
  • Cosmology: large scale structure of Universe

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

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