Non-minimally coupled inflation — expansion

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svenz706
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Hello,

In the Wikipedia article on "Inflaton" there appears the following formula:
##S=\int d^{4}x \sqrt{-g}[ \frac{1}{2}m^2_{P}R-\frac{1}{2}\partial^\mu\Phi\partial_{ \mu }\Phi-V(\Phi)-\frac{ 1 }{ 2}\xi R \Phi^]##

with
##\xi## representing the strength of the interaction between
R and ##\phi## which respectively relate to the curvature of space and the magnitude of the inflaton field.

Does ##R##, the Ricci scalar, represent a measure of the expansion of space?

https://arxiv.org/abs/1002.2995
 
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