How Does Chaplygin Gas Unify Dark Energy and Dark Matter?

[kptsilva]

Hey guys,

I learning about the unification of dark energy and dark matter via chaplygin gas equation. Can anyone help me understand this model? here is a research paper.

arxiv.org/pdf/gr-qc/0202064v2.pdf

Thank you

 

[clamtrox]

Can you be more specific? What part don't you get?

 

[kptsilva]

I'm having trouble in plotting the graph b/b(a_eq) vs. a (eq 36) since they've only given one boundary condition. I've taken another b.c to be b(a_eq)=1, but the correct plots are not obtained

 

[clamtrox]

The equation is linear in b, so b/b(a_eq) should be independent of the initial condition. You are calculating something wrong.

 

[kptsilva]

ya,but how do i solve the equation 36 without 2 boundary conditions? (since it is a second order pde)