Probing the cosmic distance duality with strong gravitational lensing and supernovae Ia data

R. F. L. Holanda; V. C. Busti; J. S. Alcaniz

doi:10.1088/1475-7516/2016/02/054

paper

Probing the cosmic distance duality with strong gravitational lensing and supernovae Ia data

arXiv:1512.02486 · doi:10.1088/1475-7516/2016/02/054

Abstract

We propose and perform a new test of the cosmic distance-duality relation (CDDR), $D_{L} (z) / D_{A} (z) (1 + z)^{2} = 1$ , where $D_{A}$ is the angular diameter distance and $D_{L}$ is the luminosity distance to a given source at redshift $z$ , using strong gravitational lensing (SGL) and type Ia Supernovae (SNe Ia) data. We show that the ratio $D = D_{A_{12}} / D_{A_{2}}$ and $D^{*} = D_{L_{12}} / D_{L_{2}}$ , where the subscripts 1 and 2 correspond, respectively, to redshifts $z_{1}$ and $z_{2}$ , are linked by $D / D^{*} = (1 + z_{1})^{2}$ if the CDDR is valid. We allow departures from the CDDR by defining two funcions for $η (z_{1})$ , which equals unity when the CDDR is valid. We find that combination of SGL and SNe Ia data favours no violation of the CDDR at 1 $σ$ confidence level ( $η (z) ≃ 1$ ), in complete agreement with other tests and reinforcing the theoretical pillars of the CDDR.

6 pages . JCAP ACCEPTED

Probing the cosmic distance duality with strong gravitational lensing and supernovae Ia data

Abstract

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