Testing the distance duality relation using type Ia supernovae and ultracompact radio sources

Xin Li; Hai-Nan Lin

doi:10.1093/mnras/stx2810

paper

Testing the distance duality relation using type Ia supernovae and ultracompact radio sources

arXiv:1710.11361 · doi:10.1093/mnras/stx2810

Abstract

We test the possible deviation of the cosmic distance duality relation $D_{A} (z) (1 + z)^{2} / D_{L} (z) \equiv 1$ using the standard candles/rulers in a fully model-independent manner. Type-Ia supernovae are used as the standard candles to derive the luminosity distance $D_{L} (z)$ , and ultra-compact radio sources are used as the standard rulers to obtain the angular diameter distance $D_{A} (z)$ . We write the deviation of distance duality relation as $D_{A} (z) (1 + z)^{2} / D_{L} (z) = η (z)$ . Specifically, we use two parameterizations of $η (z)$ , i.e. $η_{1} (z) = 1 + η_{0} z$ and $η_{2} (z) = 1 + η_{0} z / (1 + z)$ . The parameter $η_{0}$ is obtained using the Markov chain Monte Carlo methods by comparing $D_{L} (z)$ and $D_{A} (z)$ at the same redshift. The best-fitting results are $η_{0} = - 0.06 \pm 0.05$ and $- 0.18 \pm 0.16$ for the first and second parameterizations, respectively. Our results depend on neither the cosmological models, nor the matter contents or the curvature of the universe.

6 pages, 4 figures, accepted by MNRAS

Testing the distance duality relation using type Ia supernovae and ultracompact radio sources

Abstract

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