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

References in corpus (12)

• The Confrontation between General Relativity and Experiment
• The teleparallel equivalent of general relativity
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Degrees of freedom of $f(T)$ gravity
• Stability of a non-minimally conformally coupled scalar field in F(T) cosmology
• Remnant Symmetry, Propagation and Evolution in f(T) Gravity
• Testing scalar-tensor theories and PPN parameters in Earth orbit
• Reflections on the covariance of modified teleparallel theories of gravity
• Post-Newtonian parameter $\gamma$ for multiscalar-tensor gravity with a general potential
• Some aspects of reconstruction using a scalar field in f (T ) Gravity
• Post-Newtonian parameters $\gamma$ and $\beta$ of scalar-tensor gravity for a homogeneous gravitating sphere
• Introduction to teleparallel gravities

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• Stability of scalar perturbations in scalar-torsion $f(T,\varphi )$ gravity theories in the presence of a matter fluid
• Scalarized Black Holes in Teleparallel Gravity
• General cosmological perturbations in teleparallel gravity
• Revisiting diagonal tetrads: New Black Hole solutions in $f(T)$ gravity
• Parametrized post-Newtonian limit of the Nieh-Yan modified teleparallel gravity
• Parametrized post-Newtonian limit of generalized scalar-nonmetricity theories of gravity
• A geometric view on local Lorentz transformations in teleparallel gravity
• Scale-invariant cosmology in de Sitter gauge theory
• Gauge-invariant approach to the parametrized post-Newtonian formalism
• xPPN: An implementation of the parametrized post-Newtonian formalism using xAct for Mathematica
• Field transformations and invariant quantities in scalar-teleparallel theories of gravity
• Post-Newtonian limit of generalized scalar-teleparallel theories of gravity
• Parametrized post-Newtonian formalism in higher-order Teleparallel Gravity