PPN parameters in gravitational theory with nonminimally derivative coupling

Abstract

The nonminimal coupling of the kinetic term to Einstein's tensor helps the implementation of inflationary models due to the gravitationally enhanced friction. We calculate the parametrized post-Newtonian (PPN) parameters for the scalar--tensor theory of gravity with nonminimally derivative coupling. We find that under experimental constraint from the orbits of millisecond pulsars in our galaxy, the theory deviates from Einstein's general relativity in the order of $10^{-20}$, and the effect of the nonminimal coupling is negligible if we take the scalar field as dynamical dark energy. With the assumed conditions that the background scalar field is spatially homogeneous and evolves only on cosmological timescales and the contribution to stress--energy in the solar system from the background scalar field is subdominant, the scalar field is required to be massless.

minor corrections, 1 table added, Int. J. Mod. Phys. D in press

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• The slow expansion with nonminimal derivative coupling and its conformal dual
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• Warm inflation with an oscillatory inflaton in the non-minimal kinetic coupling model
• Reheating mechanism of Curvaton with Nonminimal Derivative Coupling to Gravity
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• Parameterized post Newtonian approximation in a teleparallel model of dark energy with a boundary term