English

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

General Relativity and Quantum Cosmology 2012-11-06 v1 Earth and Planetary Astrophysics

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\epsilon can be written in terms of the usual post-Newtonian parameter γ\gamma and β\beta as ϵ=4/3γ2+4/3β1/6γ3/2 \epsilon=4/3 \gamma^2 + 4/3 \beta - 1/6 \gamma -3/2

Keywords

Cite

@article{arxiv.1210.3073,
  title  = {2PN/RM gauge invariance in Brans-Dicke-like scalar-tensor theories},
  author = {Olivier Minazzoli},
  journal= {arXiv preprint arXiv:1210.3073},
  year   = {2012}
}