Solar System Constraints on Scalar Tensor Theories with Non-Standard Action

Abstract

We compute the Post-Newtonian parameter (PPN),$\gamma$, for scalar-tensor gravity theory when the action functional for the scalar field is a non-standard one, namely the Dirac-Born-Infeld (DBI) type action, used in the literature for a tachyon field. We investigate two different cases (Linear and conformal couplings) when the scalar field is non-minimally coupled to gravity via the scalar curvature. We find that the PPN parameter $\gamma$, which measures the amount of space curvature per unit rest mass, becomes a function of the effective mass of the scalar field. Using this PPN parameter, we calculate the time delay $\Delta \tau$ for the signal to travel the round trip distance bertween a ground based antenna and a reflector placed in a spacecraft which is produced due to the grvitational field of Sun. We use this $\Delta \tau$ to compare our result with that obtained by the Cassini mission and derive the constraints on the model parameters.

7 pages, Revtex style, two eps figures, revised version, accepted for publication in Physical Review D

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Cited by in corpus (12)

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• Post-Newtonian parameters gamma and beta of scalar-tensor gravity with a general potential
• A de Sitter tachyon thick braneworld
• Post-Newtonian parameters and cosmological constant of screened modified gravity
• Post-Newtonian parameter $\gamma$ for multiscalar-tensor gravity with a general potential
• Localization of gauge fields in a tachyonic de Sitter thick braneworld
• Kinetically coupled dark energy
• Post-Newtonian parameters $\gamma$ and $\beta$ of scalar-tensor gravity for a homogeneous gravitating sphere
• Coulomb's law corrections and fermion field localization in a tachyonic de Sitter thick braneworld
• A de Sitter tachyonic braneworld revisited
• Stability of a tachyon braneworld
• Kinetic coupled tachyon: A dynamical system analysis