Parametrizations in scalar-tensor theories of gravity and the limit of general relativity

3Quantum: Algebra Geometry Information

物理学;数学

Järv, L.^1 ; Kuusk, P.^1 ; Saal, M.^1 ; Vilson, O.^1

Institute of Physics, University of Tartu, Ravila 14c, Tartu

50411, Estonia^1

关键词: Einstein frame;    Field equation;    General Relativity;    Parametrizations;    Post-Newtonian parameters;    Scalar fields;    Theory of gravity;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/532/1/012011/pdf
DOI  :  10.1088/1742-6596/532/1/012011

来源: IOP

【 摘 要 】

We consider a general scalar-tensor theory of gravity and review briefly different forms it can be presented (different conformal frames and scalar field parametrizations). We investigate the conditions under which its field equations and the parametrized post-Newtonian parameters coincide with those of general relativity. We demonstrate that these so-called limits of general relativity are independent of the parametrization of the scalar field, although the transformation between scalar fields may be singular at the corresponding value of the scalar field. In particular, the limit of general relativity can equivalently be determined and investigated in the commonly used Jordan and Einstein frames.