- #1
binbagsss
- 1,254
- 11
Homework Statement
Homework Equations
see above
The Attempt at a Solution
Using the conservation equation for ##p=0##
I find: ##\rho =\frac{ \rho_0}{a^3}##; (I am told this is ##\geq0## , is ##a\geq0## so here I can conclude that ##\rho_0 \geq =0 ## or not?)
Plugging this and ##p=0## into the first Einstein equation I get:
##\dot{a^2}+k-\Lambda a^2=\frac{8\pi G \rho_0}{a}##
So a stationary solution is to solve for ##a## and get no time independence, so don't we need something of the form:
##\frac{da}{dt} a^k =0## or can I find a more general expression to this?
This is ofc not possible to get since ##\Lambda## and ##k## are constants and can not depend on ##a##?
Many thanks