%0 Journal Article %T A Derivation of the EtheringtonĄ¯s Distance-Duality Equation %A Yuri Heymann %J International Journal of Astrophysics and Space Science %P 65-69 %@ 2376-7022 %D 2015 %R 10.11648/j.ijass.20150304.13 %X The Etherington's distance-duality equation is the relationship between the luminosity distance of standard candles and the angular-diameter distance. This relationship has been validated from astronomical observations based on the X-ray surface brightness and the Sunyaev-Zel'dovich effect of galaxy clusters. In the present study, we propose a derivation of the Etherington's reciprocity relation in the dichotomous cosmology. %K Etherington %K Distance Duality %K Dichotomous Cosmology %U http://www.sciencepublishinggroup.com/journal/paperinfo.aspx?journalid=302&doi=10.11648/j.ijass.20150304.13