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arXiv · 1210.3073

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

Olivier Minazzoli
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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 $ε$ can be written in terms of the usual post-Newtonian parameter $γ$ and $β$ as $ ε=4/3 γ^2 + 4/3 β- 1/6 γ-3/2$

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Olivier Minazzoli. 2012-10-10. 2PN/RM gauge invariance in Brans-Dicke-like scalar-tensor theories. https://doi.org/10.1088/0264-9381%2F29%2F23%2F237002

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