Cosmological law of universal gravitation

Abstract

Without exceeding the limits of the conventional $\Lambda$CDM paradigm, we argue for Yukawa law of interparticle interaction as the law of gravitation in the real expanding inhomogeneous Universe. It covers the whole space and comes up to take place of Newtonian gravity, which is restricted exclusively to sub-horizon distances. The large-scale screening of gravitational interaction between every two nonrelativistic massive particles is ensured by the homogeneous cosmological background (specifically, by the nonzero average rest mass density of nonrelativistic matter). We take advantage of the uniform matter distribution case (i.e. the homogeneous Universe limit) to demonstrate superiority of Yukawa gravity. Attention is also devoted to the concrete particular case of inhomogeneity.

arXiv commentessay on aspects of screening in the context of equations of motion; preprint of an article published in International Journal of Modern Physics D [copyright World Scientific Publishing Company], http://www.worldscientific.com/worldscinet/ijmpd; comments welcome

References in corpus (14)

• The cosmological simulation code GADGET-2
• Connection between Newtonian simulations and general relativity
• Simulation techniques for cosmological simulations
• N-body methods for relativistic cosmology
• First-order Cosmological Perturbations Engendered by Point-like Masses
• Dynamics of astrophysical objects against the cosmological background
• Swiss-cheese models and the Dyer-Roeder approximation
• Remarks on mechanical approach to observable Universe
• Hubble flows and gravitational potentials in observable Universe
• Scalar and vector perturbations in a universe with discrete and continuous matter sources
• Review on exact and perturbative deformations of the Einstein-Straus model: uniqueness and rigidity results
• Discrete Newtonian Cosmology: Perturbations
• Non-relativistic limit of multidimensional gravity: exact solutions and applications
• Zero average values of cosmological perturbations as an indispensable condition for the theory and simulations

Cited by in corpus (10)

• Second-order Cosmological Perturbations Engendered by Point-like Masses
• Duel of cosmological screening lengths
• Perfect fluids with $\omega =\mathrm{const}$ as sources of scalar cosmological perturbations
• Effect of the spatial curvature of the Universe on the form of the gravitational potential
• Scalar perturbations in cosmological $f(R)$ models: the cosmic screening approach
• Analytic expressions for the second-order scalar perturbations in the $\Lambda$CDM Universe within the cosmic screening approach
• Gravitational Interaction in the Chimney Lattice Universe
• A note on cosmological features of modified Newtonian potentials
• Scalar and vector perturbations in a universe with nonlinear perfect fluid
• Gravitational potentials and forces in the Lattice Universe: a slab