Problem 3. Consider a flat, single component universe. 1. For a light source at redshift z that is observed at time to, show that z changes at a rate Ho(1+2) - Ho(1+2)³(1+w)/2 dz dto (2.1) 2. For what values of w does the observed redshift increase with time? 3. Assuming the single component is matter and Ho = 68 km/s/Mpc, you observe a galaxy at z = 1. Using Equation 2.1, determine how long you will have to keep observing the galaxy in order to see its redshift change by 1 part in 106.
Problem 3. Consider a flat, single component universe. 1. For a light source at redshift z that is observed at time to, show that z changes at a rate Ho(1+2) - Ho(1+2)³(1+w)/2 dz dto (2.1) 2. For what values of w does the observed redshift increase with time? 3. Assuming the single component is matter and Ho = 68 km/s/Mpc, you observe a galaxy at z = 1. Using Equation 2.1, determine how long you will have to keep observing the galaxy in order to see its redshift change by 1 part in 106.
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Transcribed Image Text:Problem 3. Consider a flat, single component universe.
1. For a light source at redshift z that is observed at time to, show that z changes at a rate
dz
dto
=
= Ho(1 + 2) — Ho(1+2)³(¹+w)/2
(2.1)
2. For what values of w does the observed redshift increase with time?
3. Assuming the single component is matter and Ho = 68 km/s/Mpc, you observe a galaxy at z = 1. Using
Equation 2.1, determine how long you will have to keep observing the galaxy in order to see its redshift
change by 1 part in 106.
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