Suppose that you are in a spatially flat universe containing only matter. Write the Friedmann equation...
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Suppose that you are in a spatially flat universe containing only matter. Write the Friedmann equation for this universe and solve it to obtain a(t) in terms of the expansion rate today Ho. Derive formulas for the comoving distance d.(z), luminosity distance d1(2) = de(z)(1+ 2) and angular diameter distance dA(2) = d.(z)/(1+ 2) of a source observed today, as a function of its redshift z. Show a graph of these these three distances versus 0<z<3. Suppose that you are in a spatially flat universe containing only matter. Write the Friedmann equation for this universe and solve it to obtain a(t) in terms of the expansion rate today Ho. Derive formulas for the comoving distance d.(z), luminosity distance d1(2) = de(z)(1+ 2) and angular diameter distance dA(2) = d.(z)/(1+ 2) of a source observed today, as a function of its redshift z. Show a graph of these these three distances versus 0<z<3.
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Related Book For
Operations management processes and supply chain
ISBN: 978-0136065760
9th edition
Authors: Lee J Krajewski, Larry P Ritzman, Manoj K Malhotra
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