## 13 Citations

### Screening vs. gevolution: In chase of a perfect cosmological simulation code

- PhysicsPhysics Letters B
- 2022

### Cosmological Perturbations Engendered by Discrete Relativistic Species

- Physics
- 2022

Within the extension of the ΛCDM model, allowing for the presence of neutrinos or warm dark matter, we develop the analytical cosmological perturbation theory. It covers all spatial scales where the…

### Gravitational Interaction in the Chimney Lattice Universe

- Physics, MathematicsUniverse
- 2021

We investigate the influence of the chimney topology T×T×R of the Universe on the gravitational potential and force that are generated by point-like massive bodies. We obtain three distinct…

### Yukawa vs. Newton: gravitational forces in a cubic cosmological simulation box

- PhysicsThe European Physical Journal Plus
- 2022

. We study the behaviour of Yukawa and Newtonian gravitational forces in a cubic box with fully periodic boundaries commonly encountered in N-body simulations of the structure formation. Placing a…

### Gravitational potentials and forces in the Lattice Universe: a slab

- PhysicsThe European Physical Journal Plus
- 2021

We study the effect of the slab topology $$T\times R\times R$$
of the Universe on the form of gravitational potentials and forces created by point-like masses. We obtain two alternative forms of…

### Effect of the Cubic Torus Topology on Cosmological Perturbations

- PhysicsUniverse
- 2021

We study the effect of the cubic torus topology of the Universe on scalar cosmological perturbations which define the gravitational potential. We obtain three alternative forms of the solution for…

### Gravitation in the Space with Chimney Topology

- PhysicsPhysical Sciences Forum
- 2021

Searching for possible indicators of spatial topology of the Universe in the Cosmic Microwave Background data, one recognizes a quite promising interpretation which suggests that the shape of the…

### Scalar and vector perturbations in a universe with nonlinear perfect fluid

- Physics
- 2020

We study a three-component universe filled with dust-like matter in the form of discrete inhomogeneities (e.g., galaxies) and perfect fluids characterized by linear and nonlinear equations of state.…

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

- PhysicsPhysics Letters B
- 2022

### Effect of Medium on Fundamental Interactions in Gravity and Condensed Matter

- PhysicsFrontiers in Physics
- 2022

Recently, it was shown that the gravitational field undergoes exponential cutoff at large cosmological scales due to the presence of background matter. In this article, we demonstrate that there is a…

## 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…

### Cosmic screening of the gravitational interaction

- Physics
- 2017

We study a universe filled with cold dark matter in the form of discrete inhomogeneities (e.g., galaxies) and dark energy in the form of a continuous perfect fluid. We develop a first-order scalar…

### 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…