Observational Cosmology - Unit 4 Solutions
4. The critical closure density is 3H2/8.pi.G = 9.2x10-27 h702 kg m-3 =1.35x1011 h702 Msol Mpc-3. Dividing this by the observed luminosity density (for H0=70) gives M/LB=804 solar units for closure.
jB is proportional to the Hubble constant since luminosities scale as H0-2, distances scale as H0-1, and hence volumes go as H0-3. Thus the luminosity density scales as H0.