Screening of Gravitational Interactions and Its Astrophysical Manifestations

Astronomy and Astrophysics – Astronomy

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Cosmology: Theory, Cosmology: Dark Matter, Gravitation, Cosmology: Large-Scale Structure Of Universe, Solar System: General

Scientific paper

Screening of the Newtonian potential of a moving test body in a homogeneous Maxwellian gas of gravitating bodies is investigated on the basis of the collisionless kinetic equation and the Poisson equation. The modified potential is expressed in terms of the test particle velocity and the gravitational susceptibility of the system. Since all bodies in such a system execute a thermal motion, a renormalized gravitational potential in the system can be determined by way of averaging the test-body potential over the body velocities with the Maxwellian distribution function. It is found that the resultant renormalized potential not only decays faster than the Newtonian potential but also oscillates with the period on order of the Jeans length. A dark matter allowance in the system gives rise to a significant decrease in the oscillation period. The observable oscillations of the tail ends of the correlation functions of galaxies and Abell clusters testify to the oscillating character of the screened potential, and the observable period of these oscillations enables us to estimate the Jeans wavenumber for the dark matter.

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