Problem Set #5

ASTR 3830


  1. Show that if k=0 and P=0, a steady state universe requires that L=0, r=0 and a is undefined.

  1. Einstein speculated that k=1 and that a was constant to create a finite, steady universe. Show that this implies:


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Then derive a formula for the density of universe.


Please note, you may have trouble deriving this from the Einstein equations presented in class. Our treatment of L was incomplete.  I suggest you go to the library and find the full forms in a textbook.


  1. In your own words describe why we think that matter-antimatter asymmetry was 10-9 in the early universe.