Introduction to Cosmology Ryden · Problem 5.1

Model Universes

Physics — Astrophysics · redshift-rate-flat-single-component-universe

Problem

A light source in a flat, single-component universe has a redshift zz when observed at a time t0t_0. Show that the observed redshift zz changes at a rate dzdt0=H0(1+z)−H0(1+z)3(1+w)/2.(5.116)\frac{dz}{dt_0} = H_0(1+z) - H_0(1+z)^{3(1+w)/2}. \tag{5.116} For what values of ww does the observed redshift increase with time?

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