Explain why the cosmological principle requires that H0 must have the same value everywhere in space, but does not require that it be constant in time.
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Explain why the cosmological principle requires that H0 must have the same value everywhere in space, but does not require that it be constant in time.
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- If some unknown cause of red shift—such as light becoming “tired” from traveling long distances through empty space—isdiscovered, what effect would there be on cosmology?Consider the following line element, ds^2 = −dt^2 + a^2 (t) (dx^2 + dy^2 ) + b^2 (t) dz^2 , where a(t) and b(t) are distinct functions. State whether or not this line element obeys the Cosmological Principle, if applied to describe the universe on large scales. Justify your answer.What is meant by the critical density of the universe? Why is this quantity important to cosmologists?
- Determine which of the following decays or reactions is not allowed and explain why. (a) p + p → p + π++Λ+-K0 (b) Λ → p + π0Please answer within 90 minutes.Briefly explain what is meant by “particle horizon” and “event horizon” in cosmology. Calculate the physical particle horizon, RH(t), at time t. Assume a flat FRW universe whichis dominated by a fluid that gives rise to scale factor evolution where n is a constant with 0 < n < 1, and a(t0) = a0.