Redshift-time relation

Differentiating

1 + z = a_{0} / a (t)

gives

\frac{d z}{d t} = - (1 + z) H (z) .

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- Cosmic chronometer Redshift-time relation

Cosmic chronometer

Cosmic chronometers infer the Hubble parameter from differential ages of passively evolving galaxies:

H (z) = - \frac{1}{1 + z} \frac{d z}{d t} .

They probe

H (z)

locally in redshift rather than through a distance integral.

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Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 310 / 1 / d / Solution

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