Suppose a hypothetical universe is expanding (at some moment in time) at a rate of H. At this same moment the density of this Universe is ρ. (a) Confirm for yourself that this is a closed universe, given the values below. (b) Determine, and enter below, the spatial radius of curvature for this closed universe (at the same moment in time at which the values above are given). Values: H = 90 km s-1 Mpc-1 ρ = 4.2x10-26 kg m-3

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Suppose a hypothetical universe is expanding (at some moment in time) at a rate of H.  At this same moment the density of this Universe is ρ. 

 

(a) Confirm for yourself that this is a closed universe, given the values below.

(b) Determine, and enter below, the spatial radius of curvature for this closed universe (at the same moment in time at which the values above are given).

 

Values:

H = 90 km s-1 Mpc-1

ρ = 4.2x10-26 kg m-3

 

Please show work because I have trouble following along

Expert Solution
Step 1

Given that for a universe

Rate of expanding

H = 90 km s-1 Mpc-1

And at this time the density

ρ = 4.2x10-26 kg m-3

 

 

 

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In part b, I believe you accidently used 2.4*10-26 instead of 4.2*10-26. Using 4.2*10-26 gives the answer of 6.9*1012. Thank you for working on this I was having confusion between using rho and episilon.

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