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Einstein's static universe- Introduction by Cosmology

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(4.2) Consider Einstein's static universe, in which the attractive force of the matter density p is exactly balanced by the repulsive force of the cosmological constant, Λ=4piGp. Suppose that some of the matter is converted into radiation (by stars, for instance). Will the universe start to expand or contract? Explain your answer.

(4.3) If p=3x10^-27 kg/m^3, what is the radius of curvature R_0 of Einstein's static universe? How long would it take a photon to circumnavigate such a universe?

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Solution Summary

The solution examines Einstein's static universe. A calculation is shown to determine if the universe will start to expand or contract. How long it takes a photon to circumnavigate a universe is determined.

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(4.2) We use equation (BR-4.64) to see that when there is only matter, P = 0, and exactly balancing cosmological constant,
Λ=4πGρ, ...

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