Post-Newtonian limit of generalized symmetric teleparallel gravity

Abstract

In this article we analyze the post-Newtonian approximation of a generalization of the symmetric teleparallel gravity with the help of the parameterized post-Newtonian (PPN) formalism. This class of theories is based on a free function of the five independent quadratic contractions of the non-metricity tensor. By calculating the PPN metric of these theories, we can restrict the Taylor coefficients of the free function with the help of the PPN parameters and their observational bounds. We find two families of theories whose PPN parameters are identical to those of general relativity, and thus in full agreement with observations. For three further families, we find that only the PPN parameters $\beta$ and $\gamma$ deviate, but can be brought arbitrarily close to their general relativity values by an appropriate choice of the Lagrangian, so that also these families contain candidate theories which agree with observations. The remaining theories either possess no well-defined solution of the post-Newtonian field equations, or possess a post-Newtonian limit which exceeds the form assumed in the PPN formalism.

13 pages

References in corpus (15)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The Confrontation between General Relativity and Experiment
• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the Universe
• The teleparallel equivalent of general relativity
• Energy Conditions in $f(Q)$ gravity
• Testing $F(Q)$ gravity with redshift space distortions
• Cosmography in $f(Q)$ gravity
• Testing scalar-tensor theories and PPN parameters in Earth orbit
• Post-Newtonian parameter $\gamma$ for multiscalar-tensor gravity with a general potential
• Post-Newtonian limit of generalized scalar-torsion theories of gravity
• The Parameterised Post-Newtonian Limit of Bimetric 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

Cited by in corpus (8)

• Can $f(Q)$ gravity challenge $\Lambda$CDM?
• A designer approach to $f(Q)$ gravity and cosmological implications
• Exploring physical properties of minimally deformed strange star model and constraints on maximum mass limit in $f(\mathcal{Q})$ gravity
• Late-time cosmology with phantom dark-energy in $f(Q)$ gravity
• Constraining study of charged gravastars solutions in symmetric teleparallel gravity
• Study of Viable Compact Stellar Structures in Non-Riemannian Geometry
• Cosmological implications of non-minimally coupled f(Q) gravity
• Parametrized post-Newtonian formalism in higher-order Teleparallel Gravity