Consider a positively curved universe containing only matter (the "Big Crunch" model discussed in Section 5.4.1). At some time to > tcrunch/2, during the contraction phase of this universe, an astronomer named Elb- buh Niwde discovers that nearby galaxies have blueshifts (-1 z< 0) proportional to their distance. He then measures Ho and 2o. finding Ho < 0 and 2o > 1. Given Ho and 20, how long a time will elapse between Dr. Niwde's observations at t = to and the final Big Crunch at t = fcrunch? What is the highest amplitude blueshift that Dr. Niwde is able to observe? What is the lookback time to an object with this blueshift?

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Consider a positively curved universe containing only matter (the "Big
Crunch" model discussed in Section 5.4.1). At some time to lerunch/2,
during the contraction phase of this universe, an astronomer named Elb-
buh Niwde discovers that nearby galaxies have blueshifts (-1 < 0)
proportional to their distance. He then measures Ho and S2o, finding Ho < 0
and 20 > 1. Given Ho and So, how long a time will elapse between Dr.
Niwde's observations at t = to and the final Big Crunch at t =
5.7
terunch?
What is the highest amplitude blueshift that Dr. Niwde is able to observe?
What is the lookback time to an object with this blueshift?
Transcribed Image Text:Consider a positively curved universe containing only matter (the "Big Crunch" model discussed in Section 5.4.1). At some time to lerunch/2, during the contraction phase of this universe, an astronomer named Elb- buh Niwde discovers that nearby galaxies have blueshifts (-1 < 0) proportional to their distance. He then measures Ho and S2o, finding Ho < 0 and 20 > 1. Given Ho and So, how long a time will elapse between Dr. Niwde's observations at t = to and the final Big Crunch at t = 5.7 terunch? What is the highest amplitude blueshift that Dr. Niwde is able to observe? What is the lookback time to an object with this blueshift?
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