Vulnerability of f(Q) gravity theory and a possible resolution

Abstract

Both the generalized teleparallel theories of gravity suffer from some serious problems. The strong coupling issue appearing as a consequence of extra degrees of freedom in the `generalized metric teleparallel gravity' theory, prompted to consider `generalized symmetric teleparallel gravity' theory (GSTG). Unfortunately, recent perturbative analysis in the background of maximally symmetric space-time revealed that GSTG also suffers from the strong coupling issue and the ghost degrees of freedom. It has also been cognised that GSTG does not admit diffeomorphic invariance in general. Lately, it has been shown that except for the first, the other two connections associated with spatially flat Robertson-Walker metric do not even admit GSTG, while the first connection leads to an eerie Hamiltonian upon ensuing Dirac-Bergmann constraint analysis. Here we show that the only existing non-flat connection is also not viable in the same sense. Thus GSTG happens to be jeopardized. These problems do not showup in $f(R,Q)$ theory of gravity. Modified Dirac-Bergmann constraint analysis is deployed to formulate the phase-space structure. Quantization, probabilistic interpretation and semi-classical approximation connote that such a theory is well behaved in the context of early inflation, which has also been studied.

18 pages, 4 figures

References in corpus (67)

• Planck 2018 results. X. Constraints on inflation
• Cosmology in $f(Q)$ geometry
• f(T) Gravity and local Lorentz invariance
• Cosmological perturbations in f(T) gravity
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Improved limits on the tensor-to-scalar ratio using BICEP and Planck
• Covariant formulation of f(Q) theory
• Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
• Testing $F(Q)$ gravity with redshift space distortions
• Signatures of $f(Q)$-gravity in cosmology
• Bouncing Cosmology in f(Q) Symmetric Teleparallel Gravity
• Einsteinian cubic gravity
• Nonmetricity formulation of general relativity and its scalar-tensor extension
• Wormhole geometries in $f(Q)$ gravity and the energy conditions
• Observational constraints on cosmological solutions of $f(Q)$ theories
• Cosmological perturbations in modified teleparallel gravity models
• Noether symmetries in Symmetric Teleparallel Cosmology
• Cosmological Perturbation in f(T) Gravity Revisited
• Physical Characteristics and Maximum Allowable Mass of Hybrid Star in the Context of $f(Q)$ Gravity
• Observational constraints on two cosmological models of $f(Q)$ theory
• Matter Bounce Scenario and the Dynamical aspects in f(Q,T) Gravity
• Casimir Wormholes in Modified Symmetric Teleparallel Gravity
• Traversable wormhole inspired by non-commutative geometries in $f(Q)$ gravity with conformal symmetry
• A designer approach to $f(Q)$ gravity and cosmological implications
• FLRW solutions in $f(Q)$ theory: the effect of using different connections
• Exploring physical properties of minimally deformed strange star model and constraints on maximum mass limit in $f(\mathcal{Q})$ gravity
• On the impact of $f(Q)$ gravity on the Large Scale Structure
• 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
• Perturbations in Non-Flat Cosmology for $f(T)$ gravity
• Metric-affine Geometries With Spherical Symmetry
• GUP Corrected Casimir Wormholes in $f(Q)$ Gravity
• On the viability of $f(Q)$ gravity models
• Minisuperspace quantum cosmology in $f(Q)$ gravity
• ADM formulation and Hamiltonian analysis of $f(Q)$ gravity
• Buchdahl quark stars within $f(Q)$ theory
• Forecasting F(Q) cosmology with $\Lambda$CDM background using standard sirens
• Accelerating cosmological models in $f(Q)$ gravity and the phase space analysis
• On the strong coupling of Einsteinian Cubic Gravity and its generalisations
• The effective field theory approach to the strong coupling issue in $f(T)$ gravity
• Scalar perturbations in $f(T)$ gravity using the $1+3$ covariant approach
• A novel way to determine the scale of inflation
• Embedding procedure and wormhole solutions in $f(Q)$ gravity
• Correction to Lagrangian for Bouncing Cosmologies in $f(Q)$ Gravity
• Dirac-Bergmann analysis and Degrees of Freedom of Coincident $f(Q)$-gravity
• General cosmological perturbations in teleparallel gravity
• Modelling the Accelerating Universe with $f(Q)$ Gravity: Observational Consistency
• Energy condition bounds on $f(Q)$ model parameters in a curved FLRW universe
• Hamiltonian formulation of curvature squared action
• Canonical formulation of curvature squared action in the presence of lapse function
• Constraints on $f(Q)$ logarithmic model using gravitational wave standard sirens
• Early Universe with modified scalar-tensor theory of gravity
• Wormhole Geometry and Three-Dimensional Embedding in Extended Symmetric Teleparallel Gravity
• Spatial curvature in coincident gauge $f(Q)$ cosmology
• Stability of symmetric teleparallel scalar-tensor cosmologies with alternative connections
• FLRW Cosmology in Metric-Affine $F(R,Q)$ Gravity
• History of cosmic evolution with modified Gauss-Bonnet-dilatonic coupled term
• Early universe in view of a modified theory of gravity
• Equivalent and inequivalent canonical structures of higher order theories of gravity
• Probing the early universe with a generalized action
• Probing symmetric teleparallel gravity in the early universe
• Phase space structure of symmetric teleparallel theory of gravity
• Constraining Generalized Chaplygin Gas in Non-Minimally Coupled $f(Q)$ Cosmology using Quasars and $H(z)$ Data
• Constraining f(Q) Cosmology with Standard Sirens
• Issue of Branched Hamiltonian, Inflation and indispensability of scalar field in generalized Teleparallel theories
• Perusing Buchbinder--Lyakhovich canonical formalism for Higher-Order Theories of Gravity

Cited by in corpus (1)

• Insights in $f(Q)$ cosmology: the relevance of the connection