Analytic expressions for the second-order scalar perturbations in the Lambda CDM Universe within the cosmic screening approach


Eingorn M., Güran N. D. , Zhuk A.

PHYSICS OF THE DARK UNIVERSE, vol.26, 2019 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 26
  • Publication Date: 2019
  • Doi Number: 10.1016/j.dark.2019.100329
  • Title of Journal : PHYSICS OF THE DARK UNIVERSE

Abstract

We study the second-order scalar perturbations in the conventional Lambda CDM Universe within the cosmic screening approach. The analytic expressions for both the velocity-independent and velocity-dependent second-order scalar perturbations are derived. We demonstrate how the Yukawa screening effect, which is inherent in the first-order metric corrections, manifests itself in the second-order ones. It is shown that the obtained formulas for the second-order perturbations are reduced to the known post-Newtonian expressions at distances much smaller than the Yukawa screening length. In the era of precision cosmology, these analytic formulas play an important role since the second-order metric corrections may affect the interpretation of observational data (e.g., the luminosity-redshift relation, gravitational lensing, baryon acoustic oscillations). (C) 2019 Elsevier B.V. All rights reserved.