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 (76)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The Confrontation between General Relativity and Experiment
• f(R) theories
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• Planck 2018 results. X. Constraints on inflation
• Quasinormal modes of black holes and black branes
• Quasi-Normal Modes of Stars and Black Holes
• f(T) teleparallel gravity and cosmology
• The Sixteenth Data Release of the Sloan Digital Sky Surveys: First Release from the APOGEE-2 Southern Survey and Full Release of eBOSS Spectra
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological Implications from two Decades of Spectroscopic Surveys at the Apache Point observatory
• Dark torsion as the cosmic speed-up
• Planck 2018 results. V. CMB power spectra and likelihoods
• Einstein's Other Gravity and the Acceleration of the Universe
• Coincident General Relativity
• Planck 2018 results. VIII. Gravitational lensing
• The teleparallel equivalent of general relativity
• Cosmology in $f(Q)$ geometry
• Planck 2018 results. VII. Isotropy and Statistics of the CMB
• Scalar-tensor gravity in an accelerating universe
• Observational constraints of $f(Q)$ gravity
• Post-Newtonian constraints on f(R) cosmologies in Palatini formalism
• Post-Newtonian constraints on f(R) cosmologies in metric formalism
• The covariant formulation of f(T) gravity
• f(R) Gravity and scalar-tensor theory
• Coupling matter in modified $Q$-gravity
• Perturbations of spacetime: gauge transformations and gauge invariance at second order and beyond
• The gravity lagrangian according to solar system experiments
• Teleparallel Palatini theories
• Energy Conditions in $f(Q)$ gravity
• Testing $F(Q)$ gravity with redshift space distortions
• Nonmetricity formulation of general relativity and its scalar-tensor extension
• Accelerated Expansion of the Universe in Non-minimally Coupled Gravity
• Cosmography in $f(Q)$ gravity
• Symmetric teleparallel general relativity
• Lagrange formulation of the symmetric teleparallel gravity
• Covariant formulation of scalar-torsion gravity
• Can Horndeski Theory be recast using Teleparallel Gravity?
• Symmetric Teleparallel Gravity: Some exact solutions and spinor couplings
• Noether symmetries in Symmetric Teleparallel Cosmology
• PPN Parameter $\gamma$ and Solar System Constraints of Massive Brans-Dicke Theories
• General Teleparallel Quadratic Gravity
• Propagation of gravitational waves in symmetric teleparallel gravity theories
• The spectrum of symmetric teleparallel gravity
• A new general relativistic contribution to Mercury's perihelion advance
• Family of scalar-nonmetricity theories of gravity
• The Non-Metricity Formulation of General Relativity
• Scalar-torsion theories of gravity III: analogue of scalar-tensor gravity and conformal invariants
• Post-Newtonian parameters gamma and beta of scalar-tensor gravity with a general potential
• Gauge dependence in the theory of non-linear spacetime perturbations
• Scalar-torsion theories of gravity I: general formalism and conformal transformations
• Scalar-torsion theories of gravity II: $L(T,X,Y,\varphi )$ theory
• Observables and gauge invariance in the theory of non-linear spacetime perturbations
• On an integrable geometrical foundation of gravity
• Gauge Approach to The Symmetric Teleparallel Gravity
• Post-Newtonian limit of Teleparallel Horndeski gravity
• Parameterized post-Newtonian limit of Horndeski's gravity theory
• Testing scalar-tensor theories and PPN parameters in Earth orbit
• Parameterized post-Newtonian limit of general teleparallel gravity theories
• Post-Newtonian parameter $\gamma$ for multiscalar-tensor gravity with a general potential
• Parametrized Post-Newtonian Limit of Teleparallel Dark Energy Model
• The canonical frame of purified gravity
• Post-Newtonian limit of scalar-torsion theories of gravity as analogue to scalar-curvature theories
• Post-Newtonian limit of generalized scalar-torsion theories of gravity
• An axiomatic purification of gravity
• Polarization of gravitational waves in general teleparallel theories of gravity
• Classification of Primary Constraints of Quadratic Non-Metricity 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
• Post-Newtonian parameter $\gamma$ and the deflection of light in ghost-free massive bimetric gravity
• Parameterized post-Newtonian formalism for multimetric gravity
• Gauge-invariant approach to the parametrized post-Newtonian formalism

Cited by in corpus (31)

• First evidence that non-metricity f(Q) gravity could challenge $\Lambda$CDM
• General covariant symmetric teleparallel cosmology
• Can $f(Q)$ gravity challenge $\Lambda$CDM?
• Cosmology in $f(Q)$ gravity: A unified dynamical system analysis at background and perturbation levels
• New models and Big Bang Nucleosynthesis constraints in $f(Q)$ gravity
• A designer approach to $f(Q)$ gravity and cosmological implications
• Wormhole in $f(Q)$ gravity
• Exploring physical properties of minimally deformed strange star model and constraints on maximum mass limit in $f(\mathcal{Q})$ gravity
• A class of static spherically symmetric solutions in $f(Q)$-gravity
• Late-time cosmology with phantom dark-energy in $f(Q)$ gravity
• Anisotropic Strange Star Model Beyond Standard Maximum Mass Limit by Gravitational Decoupling in $f(Q)$ Gravity
• Influence of three parameters on maximum mass and stability of strange star under linear $f(Q)-$action
• Symmetric Teleparallel Horndeski Gravity
• Constraining study of charged gravastars solutions in symmetric teleparallel gravity
• Nonmetricity theories and aspects of gauge symmetry
• Post-Newtonian parameters of ghost-free parity-violating gravities
• Teleparallel gravity
• Modified $f(Q)$ gravity models and their cosmological consequences
• Study of Viable Compact Stellar Structures in Non-Riemannian Geometry
• Deflection of light by wormholes and its shadow due to dark matter within modified symmetric teleparallel gravity formalism
• Conserved quantities in STEGR and applications
• Constraints on Power Law and Exponential models in $f(Q)$ Gravity
• Parametrized post-Newtonian limit of generalized scalar-nonmetricity theories of gravity
• xPPN: An implementation of the parametrized post-Newtonian formalism using xAct for Mathematica
• Spatially covariant gravity with nonmetricity
• Observational constraints on the growth index parameters in $f(Q)$ gravity
• Cosmological implications of non-minimally coupled f(Q) gravity
• Stellar isotropic model in the symmetric teleparallel equivalent of general relativity theory
• Post-Newtonian limit of generalized scalar-teleparallel theories of gravity
• Degrees of freedom of a quadratic scalar-nonmetricity theory
• Parametrized post-Newtonian formalism in higher-order Teleparallel Gravity