Volume 90, Number 3, May 2010
|Number of page(s)||6|
|Section||Geophysics, Astronomy and Astrophysics|
|Published online||12 May 2010|
Scale-free model for governing the universe dynamics
Dipartimento di Fisica, Università di Roma “La Sapienza” - Piazzale Aldo Moro 5, I-00185 Roma, Italy, EU
2 ICRANet and ICRA (International Center of Relativistic Astrophysics Networks) - Piazzale della Repubblica 10, I-65122 Pescara, Italy, EU
3 Dipartimento di Scienze Fisiche, Università di Napoli “Federico II”, Complesso Universitario di Monte S. Angelo, Edificio G - Via Cinthia, I-80126 Napoli, Italy, EU
4 Dipartimento di Fisica “E. R. Caianiello”, Università di Salerno - I-84081 Baronissi (Salerno), Italy, EU
Corresponding author: email@example.com
Accepted: 26 April 2010
We investigate the effects of scale-free statistics in Friedman-Robertson-Walker cosmology, in a toy model which considers a matter distribution P(k)~ , with 2 < γ < 3. Then we address the consequences on dynamics by using the kinematical parameters, namely the cosmographic parameters (Visser M., Phys. Rev. D, 78 (2008) 063501), i.e. H(t) (Hubble parameter), q(t) (deceleration parameter), j(t) (jerk parameter) and s(t) (snap parameter) for the so-called cosmographic test (see the paper by Visser). We show that the scale-free additive background seems able to explain the origin of dark energy giving a statistical interpretation of the cosmological overcoming the fine-tuning and the coincidence problems. After this, a consistent comparison with data by a Supernovae Ia test shows that the model behaves well at z ≪ 1.
PACS: 98.80.-k – Cosmology / 98.80.Jk – Mathematical and relativistic aspects of cosmology / 98.80.Es – Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc.)
© EPLA, 2010
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