If a supernova takes 20 days to brighten and fade locally, how long would its cycle appear to take in a galaxy with a redshift of $z=1$?
Answer
40 days
The time dilation effect predicts that the duration of transient events is stretched by a factor of $(1+z)$. For $z=1$, the factor is $(1+1)=2$, so $20 \text{ days} \times 2 = 40 \text{ days}$.
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