The fractal cosmological model

Rozgacheva, I. K.; Agapov, A. A.

doi:10.48550/arxiv.1103.0552

Cited by 3 publications

(9 citation statements)

References 7 publications

(12 reference statements)

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“…Functions ∂ϕ ∂x m , a m , a m are derived from equations ( 11) and ( 16). The solutions ( 14) are shown in paper [7] to satisfy Hilbert-Einstein equation. The Christoffel symbols and the Ricci tensor don't change under the discrete scaling (9).…”

Section: Transfer Of Light Signalsmentioning

confidence: 97%

“…In our paper [7] the solution of Hilbert-Einstein equation and Lagrange's equation for a charged scalar meson matter field is constructed. The meson field in a field theory is described by a complex field ψ with a rotary symmetry…”

Section: Introductionmentioning

confidence: 99%

“…Calculation of the power spectrum of the background radiation within framework of the fractal cosmological model [7], [8] is performed in this paper.…”

Section: Introductionmentioning

confidence: 99%

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The anisotropy properties of a background radiation in the fractal cosmological model

Rozgacheva,

Agapov

2012

Preprint

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We consider the anisotropy properties of a background radiation in the fractal cosmological model. The space of this model includes self-similar domains. The metric tensors of any two domains are connected by the discrete scaling transformation. Photons of the background radiation cross the domain and their energy change. Any observer receives these photons from different domains and detects spots with different brightness. The power spectrum of the brightness anisotropy of the background radiation in the fractal cosmological model is calculated. It is shown this spectrum is closed to the observed angular power spectrum of the SDSS-quasar distribution on the celestial sphere. Only qualitatively it conforms to the angular power spectrum of CMB (WMAP-7).

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Section: Transfer Of Light Signalsmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

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The anisotropy properties of a background radiation in the fractal cosmological model

Rozgacheva,

Agapov

2012

Preprint

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“…In our works [3], [4] we find a solution of the Hilbert-Einstein equation and the Lagrange equation for a pseudoscalar field (a charged scalar meson field of matter) ψ with rotary symmetry…”

Section: Solution Of Einstein's and Lagrange's Equations For A Pseudo...mentioning

confidence: 99%

“…The cosmological model corresponding to the solution (6-8) is described in our works [3], [4] and its cosmological constraints are proposed in our work [5].…”

Section: Derivativementioning

confidence: 99%

On a problem of dark matter: A centrally symmetric distribution of a pseudoscalar field in the general relativity

Rozgacheva¹,

Agapov²

2016

Preprint

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A precise solution of the general relativity equations for centrally symmetric distribution of a pseudoscalar field with U(1) symmetry is presented. It is found that energy density of the field is restricted in the symmetry center and falls with radial distance at a much slower rate than in numerical simulations of dark matter haloes. This result can solve the cusp problem for galaxies and the problem of rotation curves for galaxy exteriors.

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Fractal dimension and thermodynamic fluctuation properties of IDV light curves

Leung¹,

Wei²,

Kong³

et al. 2011

Res. Astron. Astrophys.

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Fractals are a basic tool to phenomenologically describe natural objects having a high degree of temporal or spatial variability. From a physical point of view the fractal properties of natural systems can also be interpreted by using the standard formalism of thermodynamical fluctuations. In the present paper we introduce and analyze the fractal dimension of the Intra -Day-Variability (IDV) light-curves of the BL Lac objects, in the optical, radio and X-ray bands, respectively. A general description of the fluctuation spectrum of these systems based on general thermodynamical principles is also proposed. Based on the general fractal properties of a given physical system, we also introduce the predictability index for the IDV light curves. We have explicitly determined the fractal dimension for the R-band observations of five blazars, as well as for the radio band observations of the compact extragalactic radio source J 1128+5925, and of several X-ray sources. Our results show that the fractal dimension of the optical and X-ray observations indicates an almost pure "Brownian noise" (random walk) spectrum, with a very low predictability index, while in the radio band the predictability index is much higher. We have also studied the spectral properties of the IDV light curves, and we have shown that their spectral index is very closely correlated with the corresponding fractal dimension.

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The fractal cosmological model

Cited by 3 publications

References 7 publications

The anisotropy properties of a background radiation in the fractal cosmological model

The anisotropy properties of a background radiation in the fractal cosmological model

On a problem of dark matter: A centrally symmetric distribution of a pseudoscalar field in the general relativity

Fractal dimension and thermodynamic fluctuation properties of IDV light curves

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