Cosmology in Scalar-Tensor Gravity pp 143-195 | Cite as

# Nonminimal Coupling

Chapter

## Abstract

The theory of a scalar field explicitly coupled to the Ricci curvature of spacetime has received so much attention in the literature in different contexts that it deserves special treatment, although it can formally be reduced to a special case of a scalar-tensor theory. The action is
ξ where is a dimensionless coupling constant. Through most of this chapter, the action

$$
{S^{(NMC)}} = \int {{d^4}x\sqrt { - g} \left[ {\left( {\frac{1}{{2k}} - \frac{\xi }{2}{\phi ^2}} \right)R - \frac{1}{2}{\nabla ^c}\phi {\nabla _c} - V\left( \phi \right)} \right]} + S(m)
$$

(7.1)

*S*^{(m)}describing other forms of matter is omitted, since we want to consider regimes in which the nonminimally coupled scalar dominates the cosmic dynamics, for example during inflation.## Keywords

Scalar Field Einstein Frame Minimal Coupling Jordan Frame Tensor Perturbation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer Science+Business Media Dordrecht 2004