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

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ID: 283459
2022
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Abstract
We investigate the effect of peculiar velocities of inhomogeneities and the spatial curvature of the universe on the shape of the gravitational 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.
Reference Key
zhuk2022effect Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Ezgi Canay; Maxim Eingorn; Andrew McLaughlin II; A. Savaş Arapoğlu; Alexander Zhuk
Journal arXiv
Year 2022
DOI
DOI not found
URL
http://arxiv.org/abs/2201.07561v2
Keywords
gr-qc astro-ph.co hep-th

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