Effect of peculiar velocities of inhomogeneities on the shape of gravitational potential in spatially curved universe
Abstract
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 Helmholtztype 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.
 Publication:

Physics Letters B
 Pub Date:
 August 2022
 DOI:
 10.1016/j.physletb.2022.137175
 arXiv:
 arXiv:2201.07561
 Bibcode:
 2022PhLB..83137175C
 Keywords:

 Cosmology;
 Scalar perturbations;
 Peculiar velocities;
 Gravitational potential;
 General Relativity and Quantum Cosmology;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 High Energy Physics  Theory
 EPrint:
 9 pages, 1 figure