Question: Astronomers find it convenient to use the redshift z = 1/a 1 to measure the size of the universe when the light they observed

Astronomers find it convenient to use the redshift z = 1/a − 1 to measure the size of the universe when the light they observed was emitted.

(a) Perform a Taylor expansion in z to show that the luminosity distance of a source is given to quadratic order by

(b) The cubic term in this expansion involves the curvature K₀ and the jerk j₀ today. Calculate it.

d = H[z + 1/2(190)z+...].

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To derive the luminosity distance in terms of redshift z we will perform a Taylor expansion of the luminosity distance with respect to z a Taylor Expa... View full answer

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