Nonmetricity formulation of general relativity and its scalar-tensor extension
read the original abstract
Einstein's celebrated theory of gravitation can be presented in three forms: general relativity, teleparallel gravity, and the rarely considered before symmetric teleparallel gravity. Extending the latter, we introduce a new class of theories where a scalar field is coupled nonminimally to nonmetricity $Q$, which here encodes the gravitational effects like curvature $R$ in general relativity or torsion $T$ in teleparallel gravity. We point out the similarities and differences with analogous scalar-curvature and scalar-torsion theories by discussing the field equations, role of connection, conformal transformations, relation to $f(Q)$ theory, and cosmology. The equations for spatially flat universe coincide with those of teleparallel dark energy, thus allowing to explain accelerating expansion.
This paper has not been read by Pith yet.
Forward citations
Cited by 4 Pith papers
-
Frame invariant diffusive formulation of scalar-tensor gravity
Scalar-tensor gravity admits a frame-invariant perfect-fluid description with zero temperature, so that general relativity corresponds to diffusive equilibrium for both minimal and nonminimal theories.
-
Degenerate higher-order scalar-tensor theories in metric-affine gravity
A metric-affine version of quadratic DHOST theories is derived and reduced to a one-function family that satisfies degeneracy conditions and light-speed gravitational wave propagation.
-
Cosmology in symmetric teleparallel gravity and its dynamical system
In f(Q) symmetric teleparallel gravity, accelerating expansion is geometric; dynamical analysis of f(Q)=Q+αQ² yields five critical points with stable de Sitter (P4) and matter-dominated (P5) attractors.
-
Dynamical analysis of the covariant $f(Q)$ gravity models
Power-law and logarithmic coupling models in covariant f(Q) gravity reproduce radiation, matter, and dark energy eras through dynamical systems analysis of critical points and their stability.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.