So I've been reading a bunch about the FRW metric and doing FRW dynamics. I had a quick theory question involving the FRW Model in general. So in the Friedmann equations why is it that if the combination of (ρ + 3p) is always positive then it somehow proves the existence of a big bang like...
I am having some trouble interpreting different effective potentials
The first potential is V = (L^2)/(2r^2) - (r^2)/(2R^2) - (L^2)/(R^2)
The second potential is V = (-1/2) + (L^2)/(2r^2) -(L^2)/(R^2)
What I am having a hard time identifying do these potentials have stable orbits...
Consider cylindrical coordinates p = (x^2 + y^2)^.5 angle = arctan(y=x). Consider
your curve to be specified by z(p). Write down a (first order) differential equation
governing z(p)
please help!
Homework Statement
(30 points) Consider the metric
ds^2 = -(1 -(r^2/R^2))dt^2 + (1-(r^2/R^2))^-1 dr^2 + (r^2)d(omega)^2
Note that spacetime becomes
at at small r, not large r. r < R.
(a) Calculate the (exact) gravitational redshift (w_2)/(w_1) between two stationary ob-
servers at...