F(R) gravity with non-minimal carvature-matter coupling

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The discussion revolves around seeking references related to F(R) gravity with non-minimal curvature-matter coupling. Participants suggest starting with a general Google search to gather foundational knowledge. The user expresses a desire to derive autonomous equations but lacks the necessary guidance. Further, they are encouraged to return with more specific questions after initial research. This highlights the importance of preliminary research in tackling complex topics in theoretical physics.
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hi guys , can someone help me with references about this case ?



thx
 
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This is a broad topic, and probably best researched on google first. Then come back with more directed questions if you have them.
 
i want to derive the autonomous equations for that but don't know how to do
 
https://en.wikipedia.org/wiki/Recombination_(cosmology) Was a matter density right after the decoupling low enough to consider the vacuum as the actual vacuum, and not the medium through which the light propagates with the speed lower than ##({\epsilon_0\mu_0})^{-1/2}##? I'm asking this in context of the calculation of the observable universe radius, where the time integral of the inverse of the scale factor is multiplied by the constant speed of light ##c##.
Why was the Hubble constant assumed to be decreasing and slowing down (decelerating) the expansion rate of the Universe, while at the same time Dark Energy is presumably accelerating the expansion? And to thicken the plot. recent news from NASA indicates that the Hubble constant is now increasing. Can you clarify this enigma? Also., if the Hubble constant eventually decreases, why is there a lower limit to its value?

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