Effect of the spatial curvature of the Universe on the form of the gravitational potential
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Дата
2019
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Анотація
Within the cosmic screening approach, we obtain
the exact formulas for the velocity-independent gravitational
potentials produced by matter in the form of discrete sources
distributed in the open and closed Universes. These formulas
demonstrate that spatial curvature of the Universe considerably
affect the form of the potentials and forces.While in the
open Universe the gravitational force undergoes exponential
suppression at cosmological distances, in the closed Universe
the force induced by an individual mass is equal to zero at
the antipodal point with respect to this mass. The derived
formulas are applicable for investigations of the motion of
astrophysical objects (e.g., galaxies) in the open and closed
Universes, and for simulations of the large scale structure
formation.
Опис
Ключові слова
spatial curvature, Universe, gravitational, potential
Бібліографічний опис
The European Phishical Journal C