Recent content by Chromatic_Universe

I was thinking what is physically implicated by the hypergeometric behaviour of the a(t).

Edited the question! Thanks!

So a(t) is the scale factor in the FLRW metric in Cosmology https://en.wikipedia.org/wiki/Friedmann%E2%80%93Lema%C3%AEtre%E2%80%93Robertson%E2%80%93Walker_metric, the functional form of a(t) shows how the Universe behaves(expanding/collapsing) and the rate of such behaviour.

I do get a Hypergeometric solution while solving in Mathematica, but is there any physical implication of this solution?

Homework Statement Prove Rijkl= k/R2 * (gik gjl-gil gjk) where gik is the 3 metric for FRW universe and K =0,+1,-1, and i,j=1,2,3, that is, spatial coordinates. . Homework Equations The Christoffel symbol definition: Γμνρ = ½gμσ(∂ρgνσ+∂νgρσ-∂σgνρ) and the Riemann tensor definition: Rμνσρ =...

I am looking for an analytical solution. Sorry for missing that out.

(a'[t]/a[t])^2 == K*(A + B*a[t]^-6)^1/2} is the equation to be solved for getting the solution of a(t) in terms of time(t). Any ideas on how to solve this problem? Use of Matlab or Mathematica is accepted.

@FactChecker It would be (sin x)2/x2. And it does not blow up at x=0 because we apply L'Hopital's rule(https://en.wikipedia.org/wiki/L'Hôpital's_rule), hence it's finite(You can also check the intensity distribution for a single slit diffraction experiment -...

We have the function sin^2/x^2, given x>=0. Now we have to generate random numbers according to the given distribution using Monte Carlo hit-and-miss method. I want to do it in C++. @NFuller you can see the problem now.

Will do so! Thanks !

Used it once before, but lost touch.

I would like to discuss code for hit and miss monte carlo methods, and also monte carlo with veto algorithm in C++. Since I am coding in C++ after a long time, I am messed up with syntax too. I have a specific set of problems to work with. If interested we can start working on it here.

Hi :) I am new to this forum, and joined this because I wanted to have some support and helpful discussions in physics and research in academia. I hope I will get better environment here than in other platforms that exist on the web. Looking forward!