On Shapiro time delay in massive scalar-tensor theories

Abstract

The problem of determining the post-Newtonian parameter $\gamma$ in massive scalar-tensor theories is considered. We demonstrate equivalent correspondence between the post-Newtonian parameter $\gamma$ and the parameter appearing in the equation of null geodysic in massive scalar-tensor theories. We show that massive scalar-tensor theories can be distinguished from general relativity based on the predictions of Shapiro time delay. All calculations are presented using hybrid metric-Palatini f(R)-gravity as an example. The expression for Shapiro time delay in hybrid f(R)-gravity is obtained for the first time.

arXiv comment10 pages, submitted to JCAP

References in corpus (21)

• f(R) Theories Of Gravity
• The Confrontation between General Relativity and Experiment
• f(R) theories
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• 1/R gravity and Scalar-Tensor Gravity
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• The gravity lagrangian according to solar system experiments
• Limit to General Relativity in f(R) theories of gravity
• Gravitational radiation from compact binary systems in the massive Brans-Dicke theory of gravity
• Cosmological perturbations in the Palatini formulation of modified gravity
• Metric-Palatini gravity unifying local constraints and late-time cosmic acceleration
• Hybrid metric-Palatini gravity
• The matter power spectrum in f(R) gravity
• PPN Parameter $\gamma$ and Solar System Constraints of Massive Brans-Dicke Theories
• Is exponential gravity a viable description for the whole cosmological history?
• Crossing SNe Ia and BAO observational constraints with local ones in hybrid metric-Palatini gravity
• Parameterized post-Newtonian limit of Horndeski's gravity theory
• Constraints on Horndeski Theory Using the Observations of Nordtvedt Effect, Shapiro Time Delay and Binary Pulsars
• Horndeski gravity without screening in binary pulsars
• Post-Newtonian limit of hybrid metric-Palatini f(R)-gravity

Cited by in corpus (1)

• Polarization and speed of gravitational waves in hybrid metric-Palatini f(R)-gravity