Constraints on Scalar-Tensor Theory of Gravity by Solar System Tests

Abstract

We study the motion of particles in the background of a scalar-tensor theory of gravity in which the scalar field is kinetically coupled to Einstein tensor. We constrain the value of the derivative parameter $z$ through solar system tests. By considering the perihelion precession we obtain the constrain $\sqrt{z}/m_p>2.6\times 10^{12}$ m, the gravitational red-shift $\frac{\sqrt{z}}{m_p}>2.7\times 10^{10}$ m, the deflection of light $\sqrt{z}/m_p>1.6\times 10^{11}$ m, and the gravitational time delay $\sqrt{z}/m_p>7.9\times 10^{12}$ m; thereby, our results show that it is possible to constrain the value of the $z$ parameter in agreement with the observational tests that have been considered.

Version accepted for publication in EPJC

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Cited by in corpus (6)

• Observational Tests of the Generalized Uncertainty Principle: Shapiro Time Delay, Gravitational Redshift, and Geodetic Precession
• Hairy Taub-NUT/Bolt-AdS solutions in Horndeski theory
• Successful Higgs inflation from combined nonminimal and derivative couplings
• Kerr-scalaron metric and astronomical consequences near the Galactic Center black hole
• Fifth forces and frame invariance
• Energy momentum tensor of a non-minimally coupled scalar from the equivalence of the Einstein and Jordan frames