2PN/RM gauge invariance in Brans-Dicke-like scalar-tensor theories

Abstract

In this note we study the 2PN/RM gauge invariance structure of a \textit{Brans-Dicke-like} Scalar-Tensor Theories (STT) without potential. Since the spherical isotropic metric plays an important role in the literature, its 2PN/RM STT version is deduced from the general equations given in \cite{moiCQG11}, by using the invariance structure properties. It is found that the second order Eddington parameter $\epsilon$ can be written in terms of the usual post-Newtonian parameter $\gamma$ and $\beta$ as $\epsilon =4/3{\gamma }^2+4/3\beta -1/6\gamma -3/2$

References in corpus (2)

• The Laser Astrometric Test of Relativity (LATOR) Mission
• Scalar-tensor propagation of light in the inner solar system at the millimetric level

Cited by in corpus (2)

• Testing Theories of Gravity with Planetary Ephemerides
• Numerical evaluation of the exact post-Newtonian parameters in Brans-Dicke and entangled relativity theories