Post-Newtonian limit of generalized scalar-torsion theories of gravity

Abstract

In this article we derive the post-Newtonian limit of a class of teleparallel theories of gravity, where the action is a free function $L(T,X,Y,\varphi )$ of the Torsion scalar $T$ and scalar quantities $X$ and $Y$ built from the dynamical scalar field $\varphi$. We restrict the analysis to a massless scalar field in order to use the parameterized post-Newtonian formalism without modifications, such as introducing an effective gravitational constant which depends on the distance between the interacting masses. In particular the results show a class of fully-conservative theories of gravity, where the only non-vanishing parameters are $\gamma$ and $\beta$. For a particular choice of the function $L(T,X,Y,\varphi )$ the theory cannot be distinguished from General Relativity in its post-Newtonian approximation.

LaTeX, 10 pages, no figures; corrected matter action; published version, references updated. arXiv admin note: text overlap with arXiv:1909.09355

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Cited by in corpus (1)

• Gauge-invariant approach to the parametrized post-Newtonian formalism