Lattice Universe: examples and problems

Brilenkov, Maxim; Eingorn, Maxim; Zhuk, Alexander

doi:10.1140/epjc/s10052-015-3445-2

Cited by 12 publications

(21 citation statements)

References 18 publications

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“…The lattice Universe model with the toroidal topology T × T × T represents a striking example. As explicitly demonstrated by Brilenkov et al (2015), in the framework of this model the gravitational potential has no definite values on the straight lines joining identical point-like masses in neighbouring cells if the last term in the lhs of Eq. (2.15) is not taken into account.…”

Section: Yukawa Interaction and Zero Average Valuesmentioning

confidence: 88%

First-Order Cosmological Perturbations Engendered by Point-Like Masses

Eingorn

2016

ApJ

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142

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In the framework of the concordance cosmological model the first-order scalar and vector perturbations of the homogeneous background are derived in the weak gravitational field limit without any supplementary approximations. The sources of these perturbations (inhomogeneities) are presented in the discrete form of a system of separate point-like gravitating masses. The found expressions for the metric corrections are valid at all (sub-horizon and super-horizon) scales and converge at all points except at locations of the sources. The average values of these metric corrections are zero (thus, first-order backreaction effects are absent). Both the Minkowski background limit and the Newtonian cosmological approximation are reached under certain well-defined conditions. An important feature of the velocity-independent part of the scalar perturbation is revealed: up to an additive constant this part represents a sum of Yukawa potentials produced by inhomogeneities with the same finite time-dependent Yukawa interaction range. The suggested connection between this range and the homogeneity scale is briefly discussed along with other possible physical implications.

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Section: Yukawa Interaction and Zero Average Valuesmentioning

confidence: 88%

First-Order Cosmological Perturbations Engendered by Point-Like Masses

Eingorn

2016

ApJ

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142

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“…At the same time, it leads to theoretical as well as experimental restrictions for numerous extensions of the conventional model and its alternatives. For example, methods of discrete cosmology have already been applied successfully to cosmological models including a perfect fluid with a constant negative parameter in the linear equation of state (e.g., quintessence, the phantom field, topological defects such as cosmic strings and domain walls) [20], Chevallier-Polarski-Linder (CPL) and other linear parametrizations of the equation of state parameter [21], quark gluon plasma that has escaped hadronization and survived up to now in the form of quark-gluon "nuggets" [22,23], nonlinear gravity [24], and the Lattice Universe topology [25].…”

Section: Introductionmentioning

confidence: 99%

Scalar perturbations in cosmological models with dark energy-dark matter interaction

Eingorn

Kiefer

2015

J. Cosmol. Astropart. Phys.

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Scalar cosmological perturbations are investigated in the framework of a model with interacting dark energy and dark matter. In addition to these constituents, the inhomogeneous Universe is supposed to be filled with the standard noninteracting constituents corresponding to the conventional ΛCDM model. The interaction term is chosen in the form of a linear combination of dark sector energy densities with evolving coefficients. The methods of discrete cosmology are applied, and strong theoretical constraints on the parameters of the model are derived. A brief comparison with observational data is performed.

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“…The level of small distances and/or high energies may cause the breakdown of geometrical continuum as well. Examples are offered by lattice or grids in which the interactions are modified at either classical or quantum levels [72][73][74][75][76][77][78][79]. Assuming quantum effects, in analogy to what happens in quantum mechanics, there would exist indivisible units with corresponding minimal lengths associated with certain physical domains.…”

Section: The Approach Of Holographic Dark Energymentioning

confidence: 99%

A Thermodynamic Approach to Holographic Dark Energy

Luongo

2017

Advances in High Energy Physics

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We propose a method to relate the holographic minimal information density to de Broglie's wavelength at a given universe temperature . To figure this out, we assume that the thermal length of massive and massless constituents represents the cutoff scale of the holographic principle. To perform our analysis, we suppose two plausible universe volumes, that is, the adiabatic and the horizon volumes, that is, ∝ 3 and ∝ −3 , respectively, assuming zero spatial curvature. With these choices in mind, we evaluate the thermal lengths for massive and massless particles and we thus find two cosmological models associated with late and early cosmological epochs. We demonstrate that both models depend upon a free term which enters the temperature parametrization in terms of the redshift . For the two treatments, we show evolving dark energy terms which can be compared with the CDM quintessence paradigm when the barotropic factor takes the formal values 0 = −(1/3)(2 + ) and 0 = −(1/3)(1 + 2 ), respectively, for late and early eras. From our analyses, we nominate the two models as viable alternatives to dark energy determined from thermodynamics in the field of the holographic principle.

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Lattice Universe: examples and problems

Cited by 12 publications

References 18 publications

First-Order Cosmological Perturbations Engendered by Point-Like Masses

First-Order Cosmological Perturbations Engendered by Point-Like Masses

Scalar perturbations in cosmological models with dark energy-dark matter interaction

A Thermodynamic Approach to Holographic Dark Energy

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