De Sitter space, basic questions

[binbagsss]

I don't know what you mean by "compositions". Many references discuss the FRW charts for all three values of k and the corresponding curvature components. For example, Carroll's lecture notes, IIRC, go into this.

Apologies I meant different distributions of the matte/radiation/ dark-energy.

 

[PeterDonis]

I meant different distributions of the matte/radiation/ dark-energy.

Carroll's notes discuss this too, at least with respect to the most basic cases--ordinary non-relativistic matter, radiation, and dark energy.

 

[LoicM]

Another very good reference for the same topic is "V.Mukhanov : Physical foundations of Cosmology", §1.3.6. On pp.33-34 is actually a very simple and intuitive solution giving the results described by binbagss in his initial message.

http://www.astro.caltech.edu/~george/ay21/readings/Mukhanov_PhysFoundCosm.pdf

I would like to thank binbagss for his very good questions and especially PeterDonis for his detailed and clear explanations!