Problem Set #5
ASTR 3830
- Show
that if k=0 and P=0, a steady state universe requires that L=0, r=0 and a
is undefined.
- Einstein
speculated that k=1 and that a was constant to create a finite, steady universe.
Show that this implies:
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.
- In
your own words describe why we think that matter-antimatter asymmetry was 10-9
in the early universe.