In an alternative cosmology the Friedmann equation is given by (a/a)^2=8πG/3ρ^2,, where all symbols have their usual meaning. Assume that the universe is filled by a fluid with ρ∝a−3w, where w is a constant, calculate the time evolution of the scale factor. Select one answer. a.     a∝t^1/(3w)  b.     a∝t^1/(3w+1)  c.     a∝t^1/(4w) d.     a∝t^−w/3

Applications and Investigations in Earth Science (9th Edition)
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In an alternative cosmology the Friedmann equation is given by (a/a)^2=8πG/3ρ^2,, where all symbols have their usual meaning.

Assume that the universe is filled by a fluid with ρ∝a−3w, where w is a constant, calculate the time evolution of the scale factor. Select one answer.

a.

    a∝t^1/(3w) 

b.

    a∝t^1/(3w+1) 

c.

    a∝t^1/(4w)

d.

    a∝t^−w/3

 

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