Introduction to Cosmology Example Exam Question

Lecture 12: Distances at z ~ 1

Define the terms proper distance, luminosity distance and angular diameter distance. [1.5]
Show that the angular diameter distance dA and the luminosity distance dL are related by dA = dL/(1 + z)2 for an object at redshift z. [3]
Does this result rely on assuming that the universe has a flat geometry? [0.5]

(2006 Q4.)

Go to the hints and suggestions.