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## References

SHOWING 1-10 OF 38 REFERENCES

### Cosmological law of universal gravitation

- Physics
- 2017

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…

### Second-order Cosmological Perturbations Engendered by Point-like Masses

- Physics
- 2017

In the ΛCDM framework, presenting nonrelativistic matter inhomogeneities as discrete massive particles, we develop the second‐order cosmological perturbation theory. Our approach relies on the weak…

### General relativistic screening in cosmological simulations

- Physics
- 2016

We revisit the issue of interpreting the results of large volume cosmological simulations in the context of large scale general relativistic effects. We look for simple modifications to the nonlinear…

### Non-Newtonian potential involving Hubble's length

- Physics
- 2005

To limit gravitational effects of a point mass beyond its causal sphere, a non-Newtonian potential is proposed with an exponential attenuation factor that depends on Hubble's length. Potentials…

### Scalar perturbations in cosmological f(R) models: the cosmic screening approach

- PhysicsThe European Physical Journal C
- 2018

We investigate cosmological perturbations for nonlinear f(R) models within the cosmic screening approach. Matter is considered both in the form of a set of discrete point-like massive bodies and in…

### Effect of the spatial curvature of the Universe on the form of the gravitational potential

- PhysicsThe European Physical Journal C
- 2019

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…

### Scalar and vector perturbations in a universe with discrete and continuous matter sources

- Physics
- 2016

We study a universe filled with dust-like matter in the form of discrete inhomogeneities (e.g., galaxies and their groups and clusters) and two sets of perfect fluids with linear and nonlinear…