Parametrized post-Newtonian limit of generalized scalar-nonmetricity theories of gravity

Abstract

In this article we calculate the post-Newtonian limit of a general class of scalar-nonmetricity theories of gravity. The action is assumed to be a free function of the nonmetricity scalar, the kinetic term of the scalar field, two derivative couplings and the scalar field itself. We use the parametrized post-Newtonian formalism to solve the arising field equations for the case of a massless scalar field in order to compare several subclasses of this theory to solar system observations. In particular, we find several classes of theories which are indistinguishable from general relativity on the post-Newtonian level and therefore, should be studied further. Most remarkably, we find that this is the generic case, while a post-Newtonian limit that deviates from general relativity occurs only for a particular coupling between the scalar field and nonmetricity.

10 pages, one figure; journal version

References in corpus (15)

• The Confrontation between General Relativity and Experiment
• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the Universe
• Teleparallel Gravity: From Theory to Cosmology
• General covariant symmetric teleparallel cosmology
• Post-Newtonian limit of generalized symmetric teleparallel gravity
• Modified gravity: a unified approach
• Variational Principles in Teleparallel Gravity Theories
• Post-Newtonian limit of generalized scalar-torsion theories of gravity
• Post-Newtonian parameters $\gamma$ and $\beta$ of scalar-tensor gravity for a homogeneous gravitating sphere
• ADM formulation and Hamiltonian analysis of Coincident General Relativity
• Gauge-invariant approach to the parametrized post-Newtonian formalism
• Testing General Relativity with Gravitational Waves
• xPPN: An implementation of the parametrized post-Newtonian formalism using xAct for Mathematica
• Gauge-invariant post-Newtonian perturbations in symmetric teleparallel gravity

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• Scalar Field Static Spherically Symmetric Solutions in Teleparallel $F(T)$ Gravity
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