In equation below
〖H₁〗^2/〖H₀〗^2 =Ω₀(cri) (R₀⁴)/(R₁⁴(1+z(eq)))
Why is the term “(1+z(eq))” negligible in denominator according to the term “ R₁⁴ ” ?
Weinburg did it in his book named "Cosmology".
With Hobson's notation:
H=(da/dt)/a
dH/dt = ((d2a/dt2)/a) - ((da/dt)/a)2
If ((d2a/dt2)/a) is negative, (dH/dt) is certainly negative.
But if ((d2a/dt2)/a) is positive, (dH/dt) can be positive or negative.
What is your interpretation?
What is the exact calculation of Particle horizon in Lemaître model? Does it exist? Is it finite or infinite?
Can anyone calculate that integral?
Thanks