suppose we live in a close universe k0 which will recollapse

suppose we live in a close universe (k>0), which will recollapse some time in the future. what will the temperature be when the universe has gone through its maximum size and then shrunk back to its present size? Can you please solve this problem by using the following two equations:

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home.iitk.ac.in/~partha/unsig-trr1500

suppose we live in a close universe (k>0), which will recollapse some time in the future. what will the temperature be when the universe has gone through its

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