Family of scalar-nonmetricity theories of gravity

Abstract

We extend the class of recently formulated scalar-nonmetricity theories by coupling a five-parameter nonmetricity scalar to a scalar field and considering a mixed kinetic term between the metric and the scalar field. The symmetric teleparallel constraint is invoked by Lagrange multipliers or by inertial variation. The equivalents for the general relativity and ordinary (curvature-based) scalar-tensor theories are obtained as particular cases. We derive the field equations, discuss some technical details, e.g., debraiding, and formulate the Hamilton-like approach.

arXiv comment19 pages, REVTeX 4.1, we added references, wrote out explicitly a few additional expressions, and extended discussion, taking into account also the suggestions by the anonymous referee

References in corpus (37)

• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• Coincident General Relativity
• Healthy theories beyond Horndeski
• The teleparallel equivalent of general relativity
• Tensor-scalar gravity and binary-pulsar experiments
• The conformal frame freedom in theories of gravitation
• Teleparallel Palatini theories
• Nonmetricity formulation of general relativity and its scalar-tensor extension
• On the covariance of teleparallel gravity theories
• Symmetric teleparallel general relativity
• Lagrange formulation of the symmetric teleparallel gravity
• Covariant formulation of scalar-torsion gravity
• Symmetric Teleparallel Gravity: Some exact solutions and spinor couplings
• Observable traces of non-metricity: new constraints on metric-affine gravity
• Polarization of gravitational waves in symmetric teleparallel theories of gravity and their modifications
• Invariant quantities in the scalar-tensor theories of gravitation
• Propagation of gravitational waves in symmetric teleparallel gravity theories
• The Non-Metricity Formulation of General Relativity
• Scalar-torsion theories of gravity III: analogue of scalar-tensor gravity and conformal invariants
• Propagation of gravitational waves in teleparallel gravity theories
• Shaken, not stirred: kinetic mixing in scalar-tensor theories of gravity
• Scalar-torsion theories of gravity I: general formalism and conformal transformations
• The role of nonmetricity in metric-affine theories of gravity
• Scalar-torsion theories of gravity II: $L(T,X,Y,\varphi )$ theory
• On an integrable geometrical foundation of gravity
• Gauge Approach to The Symmetric Teleparallel Gravity
• General relativity as an attractor for scalar-torsion cosmology
• Test Matter in a Spacetime with Nonmetricity
• Transformation properties and general relativity regime in scalar-tensor theories
• Invariant slow-roll parameters in scalar-tensor theories
• Propagation equations for deformable test bodies with microstructure in extended theories of gravity
• Spacetime and observer space symmetries in the language of Cartan geometry
• Axial Quasi-Normal Modes of Scalarized Neutron Stars with Realistic Equations of State
• A Solution to Symmetric Teleparallel Gravity
• Palatini Variational Principle for an Extended Einstein-Hilbert Action
• Exact Scalar-Tensor Cosmological Models
• Tensor and Matrix Inversions with Applications

Cited by in corpus (48)

• Cosmology in $f(Q)$ geometry
• Coupling matter in modified $Q$-gravity
• Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
• Covariant formulation of f(Q) theory
• Accelerated Expansion of the Universe in Non-minimally Coupled Gravity
• Cosmography in $f(Q)$ gravity
• General covariant symmetric teleparallel cosmology
• Noether symmetries in Symmetric Teleparallel Cosmology
• Polarization of gravitational waves in symmetric teleparallel theories of gravity and their modifications
• Propagation of gravitational waves in symmetric teleparallel gravity theories
• Cosmological Perturbation Theory in $f(Q,T)$ Gravity
• A designer approach to $f(Q)$ gravity and cosmological implications
• Post-Newtonian limit of generalized symmetric teleparallel gravity
• Scale transformations in metric-affine geometry
• Non-metricity with bounday terms: $f(Q,C)$ gravity and cosmology
• A simple parity violating model in the symmetric teleparallel gravity and its cosmological perturbations
• Variational Principles in Teleparallel Gravity Theories
• Parameterized post-Newtonian limit of general teleparallel gravity theories
• Symmetric Teleparallel Horndeski Gravity
• Anisotropic Universe in $f(Q,T)$ gravity, a novel study
• $f(Q)$-gravity and neutrino physics
• Modelling the Accelerating Universe with $f(Q)$ Gravity: Observational Consistency
• 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
• Nonmetricity theories and aspects of gauge symmetry
• An axiomatic purification of gravity
• Teleparallel gravity
• Disformal Transformations in Scalar-Torsion Gravity
• Gravitational tensor and scalar modes in $f(Q,B)$ non-metric gravity
• Stability of $f(Q,B)$ Gravity via Dynamical System Approach: a Comprehensive Bayesian Statistical Analysis
• Cosmological dynamics and observational constraints on a viable $f(Q)$ non-metric gravity model
• Parametrized post-Newtonian limit of generalized scalar-nonmetricity theories of gravity
• Polarized gravitational waves in the parity violating scalar-nonmetricity theory
• Scalar induced gravitational waves in symmetric teleparallel gravity with a parity-violating term
• Maxwell-$f(Q)$ theory
• Spatially covariant gravity with nonmetricity
• Thick braneworld model in nonmetricity formulation of general relativity and its stability
• Phenomenological signatures of gauge invariant theories of gravity with vectorial nonmetricity
• Effects of the matter Lagrangian degeneracy in $f(Q,T)$ gravity
• Gauge-invariant post-Newtonian perturbations in symmetric teleparallel gravity
• Mimetic-$f(Q)$ gravity: cosmic reconstruction and energy conditions
• Field transformations and invariant quantities in scalar-teleparallel theories of gravity
• Is Gravity Actually the Curvature of Spacetime?
• Clifford Algebraic approach to the De Donder-Weyl Hamiltonian theory
• The gravitational energy-momentum pseudo-tensor in $f(Q)$ non-metric gravity
• Polytropic $f(Q)$ cosmology and its implications for the $H_0$ tension
• Degrees of freedom of a quadratic scalar-nonmetricity theory
• Neutron stars in $f(\mathbb{Q})$ gravity