Abstract
The distance-duality relation (DDR) between the luminosity distance D-L and the angular diameter distance D-A is viewed as a powerful tool for testing for the opacity of the Universe, being independent of any cosmological model. It was applied by many authors, who mostly confirm its validity and report a negligible opacity of the Universe.
Nevertheless, a thorough analysis reveals that applying the DDR in cosmic opacity tests is tricky. Its applicability is strongly limited because of a non-unique interpretation of the D-L data in terms of cosmic opacity and a rather low accuracy and deficient extent of currently available D-A data.
Moreover, authors usually assume that cosmic opacity is frequency independent and parametrize it in their tests by a prescribed phenomenological function. In this way, they only prove that cosmic opacity does not follow their assumptions.
As a consequence, no convincing evidence of transparency of the universe using the DDR has so far been presented.