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 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 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 γ2 + 4/3 β - 1/6 γ -3/2
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