Thermal non-Gaussianity in Near-Milne universe

preprint2010arXivOpen access

Abstract

The thermal non-Gaussianity in Near-Milne universe is investigated in this letter. Through classifying thermal fluctuations into two types, one characterized by a phase transition and the other without phase transition, we show that for fluctuations undergoing a phase transition, the non-Gaussianity depends linearly on kk, but in non-phase transition case it is proportional to k−3γ,γ>0k^{-3γ},γ>0. Moreover, if the phase transition scenario is similar to that in holographic cosmology, we find that the non-Gaussianity fNLequilf_{NL}^{equil} can reach O(1){\cal O}(1) or larger than O(1){\cal O}(1) by fine tuning of the equation of state ωCω_{C}. Especially at the limit of ωC→−5/3ω_{C}\to -5/3, the non-Gaussianity can be very large. On the other hand, for non-phase transition case, the non-Gaussianity estimator fNLequilf_{NL}^{equil} is approximately fNLequil≃5/108f_{NL}^{equil}\simeq 5/108 when the energy is sub-extensive, especially when γ→0+γ\to 0^{+}. However, when γ→4γ\to 4, large non-Gaussianity can be obtained.

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