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Abstract:

In a recent paper, a cosmological model based on El Naschie E infinity Cantorian space-time was presented [Iovane G. Varying G, accelerating universe, and other relevant consequences of a stochastic self-similar and fractal universe. Chaos, Solitons & Fractals 2004;20:657-67]. In that work, it was claimed that the present accelerated expansion of the universe can be obtained as the effect of a scaling law on Newtonian cosmology with a certain time-dependent gravitational constant (G). In the present work we show that such a cosmological model actually describes a decelerated universe. Then starting from the scenario presented in that paper, we realize a complementary approach based on an extended Friedmann model. In fact, we apply the same scaling law and a time-dependent gravitational constant, that follows from the observational constraints, to relativistic cosmology, i.e. a (extended) Friedmann's model. We are able to show that for a matter-dominated flat universe, with the scaling law and a varying G, an accelerated expansion emerges in such a way that the function luminosity distance vs redshift can be made close to the corresponding function that comes from the usual Friedmann's model supplemented with a cosmological constant, of value ΩΛ ≃ 0.7. Then the measurements of high redshift supernovae, could be interpreted as a consequence of the fractal self-similarity of the G varying relativistic universe. © 2005 Elsevier Ltd. All rights reserved.

Registro:

Documento: Artículo
Título:Accelerated expansion in a stochastic self-similar fractal universe
Autor:Santini, E.S.; Lemarchand, G.A.
Filiación:Centro Brasileiro de Pesquisas Físicas-MCT, Coordenação de Cosmologia, Relatividade e Astrofísica: ICRA-BR, Rua Dr. Xavier Sigaud 150, Urca 22290-180, Rio de Janeiro, RJ, Brazil
Comissão Nacional de Energia Nuclear-MCT, Rua General Severiano 90, Rio de Janeiro, RJ, Brazil
Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, C.C. 8-Sucursal 25, C1425FFJ Buenos Aires, Argentina
Palabras clave:Fractals; Solitons; Newtonian cosmology; Self-similar fractals; Chaos theory
Año:2006
Volumen:28
Número:4
Página de inicio:1099
Página de fin:1105
DOI: http://dx.doi.org/10.1016/j.chaos.2005.08.017
Título revista:Chaos, Solitons and Fractals
Título revista abreviado:Chaos Solitons Fractals
ISSN:09600779
CODEN:CSFOE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09600779_v28_n4_p1099_Santini

Referencias:

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Citas:

---------- APA ----------
Santini, E.S. & Lemarchand, G.A. (2006) . Accelerated expansion in a stochastic self-similar fractal universe. Chaos, Solitons and Fractals, 28(4), 1099-1105.
http://dx.doi.org/10.1016/j.chaos.2005.08.017
---------- CHICAGO ----------
Santini, E.S., Lemarchand, G.A. "Accelerated expansion in a stochastic self-similar fractal universe" . Chaos, Solitons and Fractals 28, no. 4 (2006) : 1099-1105.
http://dx.doi.org/10.1016/j.chaos.2005.08.017
---------- MLA ----------
Santini, E.S., Lemarchand, G.A. "Accelerated expansion in a stochastic self-similar fractal universe" . Chaos, Solitons and Fractals, vol. 28, no. 4, 2006, pp. 1099-1105.
http://dx.doi.org/10.1016/j.chaos.2005.08.017
---------- VANCOUVER ----------
Santini, E.S., Lemarchand, G.A. Accelerated expansion in a stochastic self-similar fractal universe. Chaos Solitons Fractals. 2006;28(4):1099-1105.
http://dx.doi.org/10.1016/j.chaos.2005.08.017