We investigate some intriguing consequences of characterizing dark energy by the so-called scale-free statistics in a flat Friedman-Robertson-Walker cosmology. We adopt a toy model, derived from a power law distribution, being P ( k )∼ k −γ , with 2<γ< 3, showing as a result that the dynamics mimics the ΛCDM paradigm at low redshift, whereas it gives a varying equation of state around the value w ∼− 1 for higher redshift. In addition, we test the equation of state with the modern cosmological data and we make a comparison with the observational constraints.
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Iannone et al. (2011) studied this question.
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