Testing cosmic opacity from SNe Ia and Hubble parameter through three cosmological-model-independent methods

Abstract

We use the newly published 28 observational Hubble parameter data ($H(z)$) and current largest SNe Ia samples (Union2.1) to test whether the universe is transparent. Three cosmological-model-independent methods (nearby SNe Ia method, interpolation method and smoothing method) are proposed through comparing opacity-free distance modulus from Hubble parameter data and opacity-dependent distance modulus from SNe Ia . Two parameterizations, $\tau (z)=2\epsilon z$ and $\tau (z)=(1+z{)}^{2\epsilon }-1$ are adopted for the optical depth associated to the cosmic absorption. We find that the results are not sensitive to the methods and parameterizations. Our results support a transparent universe.

11 pages, 8 figures, 1 table, PLB(in press)

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