- #1
foranlogan5
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could anyone please help me with this coursework,i am soo confused with maths,thanks
1)
Start with friedmann equation for case for flat universe k=0 with mass density total p =p(m) + p(cosmo constant). how can i derive integral relating scale factor to time in form
$f(a)da = $(8piG/3)^(1/2) where $=integral
then by using change of variable a to s
s = {(p(cos)/p(mo))x(a/a(o))^3}^(1/2)
and
Then another change of variable s to (THETA) = sinh^-1(s) should be able to calculate integral in A to obtain a relation for t = G(A) WHERE G(A) YOU DERIVE
where p(mo) is density matter at t =0 and a(o) is scale factor at time t=0
x=times
^3= to power of three
sinh(s)^-1 does not equal 1 /sinh(s)
1)
Start with friedmann equation for case for flat universe k=0 with mass density total p =p(m) + p(cosmo constant). how can i derive integral relating scale factor to time in form
$f(a)da = $(8piG/3)^(1/2) where $=integral
then by using change of variable a to s
s = {(p(cos)/p(mo))x(a/a(o))^3}^(1/2)
and
Then another change of variable s to (THETA) = sinh^-1(s) should be able to calculate integral in A to obtain a relation for t = G(A) WHERE G(A) YOU DERIVE
where p(mo) is density matter at t =0 and a(o) is scale factor at time t=0
x=times
^3= to power of three
sinh(s)^-1 does not equal 1 /sinh(s)