Effect of peculiar velocities of inhomogeneities on the shape of gravitational potential in spatially curved universe

Yılmaz E., Eingorn M., McLaughlin A., Arapoğlu A. S. , Zhuk A.

PHYSICS LETTERS B, vol.831, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 831
  • Publication Date: 2022
  • Doi Number: 10.1016/j.physletb.2022.137175
  • Journal Name: PHYSICS LETTERS B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, INSPEC, zbMATH, Directory of Open Access Journals
  • Keywords: Cosmology, Scalar perturbations, Peculiar velocities, Gravitational potential, COSMIC CURVATURE
  • Istanbul Technical University Affiliated: Yes


We investigate the effect of peculiar velocities of inhomogeneities and the spatial curvature of the universe on the shape of the gravitating potential. To this end, we consider scalar perturbations of the FLRW metric. The gravitational potential satisfies a Helmholtz-type equation which follows from the system of linearized Einstein equations. We obtain analytical solutions of this equation in the cases of open and closed universes, filled with cold dark matter in presence of the cosmological constant. We demonstrate that, first, peculiar velocities significantly affect the screening length of the gravitational interaction and, second, the form of the gravitational potential depends on the sign of the spatial curvature. (C) 2022 The Author(s). Published by Elsevier B.V.