3. Suppose the scale factor varies as a(t) = Act, where A and a are constants. (a) Can the constant A be negative? Explain your answer. (b) Find the Hubble parameter II (0) (c) If the universe is expanding, what is the condition on a? (d) What is the condition on a for accelerated expansion?

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3. Suppose the scale factor varies as a(t) = Act, where A and a are constants.
(a) Can the constant A be negative? Explain your answer.
(b) Find the Hubble parameter II (1)
(c) If the universe is expanding, what is the condition on ?
(d) What is the condition on a for accelerated expansion?
Transcribed Image Text:3. Suppose the scale factor varies as a(t) = Act, where A and a are constants. (a) Can the constant A be negative? Explain your answer. (b) Find the Hubble parameter II (1) (c) If the universe is expanding, what is the condition on ? (d) What is the condition on a for accelerated expansion?
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The scale factor varies as at=Aeαt

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