Testing the effects from dark radiation

In this letter, the effects of dark radiation (DR) are tested. Theoretically, the phase-space analysis method is applied to check whether the model is consist with the history of our universe which shows positive results. Observationally, by using the observational data ($SNLS$ (SuperNovae Legacy Survey), $WMAP9$(Wilkinson Microwave Anisotropy Probe 9 Years Result), $PLANCK$ (Planck First Data Release), $BAO$ (Baryon Acoustic Oscillations), $H(z)$ (Hubble Parameter Data) and $BBN$ (Big Bang Nucleosynthesis)), the dark radiation is found to have the effect of wiping out the tension between the $SNLS$ data and the other data in flat $ΛCDM$ model. The effects of dark radiation also make the best fit value of $N_{eff}$ slightly larger than 3.04.

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