General relativity as an attractor for scalar-torsion cosmology

Abstract

We study flat Friedmann-Lemaitre-Robertson-Walker cosmological models for a scalar field coupled nonminimally to teleparallel gravity with generic coupling and potential functions. The goal of this paper is to determine the conditions under which the cosmological evolution tends to the limit where the variation of the gravitational "constant" ceases and the system evolves close to general relativity. These conditions can be read off from the approximate analytical solutions describing the process in matter and potential domination eras. Only those models where the GR limit exists and is an attractor can be considered viable. We expect the results to hold in the original "pure tetrad" formulation as well as in the recently suggested covariant formulation of the teleparallel theory. In the former case the GR attractor simultaneously provides a mechanism how cosmological evolution suppresses the problematic degrees of freedom stemming from the lack of local Lorentz invariance.

8 pages, typos corrected

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• Teleparallel Gravity: From Theory to Cosmology
• Observational constraints of $f(Q)$ gravity
• Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
• 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
• Covariant formulation of scalar-torsion gravity
• Cosmological perturbations in modified teleparallel gravity models
• Dynamical system analysis for accelerating models in non-metricity $f(Q)$ gravity
• Dynamical systems approach and generic properties of $f(T)$ cosmology
• Family of scalar-nonmetricity theories of gravity
• Cosmological dynamics of dark energy in scalar-torsion $f(T,\varphi )$ gravity
• Higgs inflation and teleparallel gravity
• Reconstructing inflation in scalar-torsion $f(T,\varphi )$ gravity
• Generating primordial fluctuations from modified teleparallel gravity with local Lorentz-symmetry breaking
• Role of spacetime boundaries in Einstein's other gravity
• Post-Newtonian limit of generalized scalar-torsion theories of gravity
• Post-Newtonian limit of scalar-torsion theories of gravity as analogue to scalar-curvature theories
• Symmetron and de Sitter attractor in a teleparallel model of cosmology
• Scalar-Tensor Teleparallel Gravity With Boundary Term by Noether Symmetries
• Unified dark sectors in scalar-torsion theories of gravity
• Exploring the stability of $f(Q)$ cosmology near general relativity limit with different connections
• Onset of acceleration in a Universe initially filled by dark and baryonic matters in nonminimally coupled teleparallel model
• Inflation with teleparallelism: Can torsion generate primordial fluctuations without local Lorentz symmetry?
• Stability of symmetric teleparallel scalar-tensor cosmologies with alternative connections
• Asymptotic cosmological regimes in scalar-torsion gravity with a perfect fluid
• Can $f(R)$ gravity isotropize a pre-bounce contracting universe?
• Dynamical properties of Bianchi-I spacetimes in $f(R)$ gravity
• Inflation and Primordial Fluctuations in $F(T)$ Gravity's Rainbow
• Geodesic Congruences and a Collapsing Stellar Distribution in f (T ) Theories
• Variational Problem and Bigravity Nature of Modified Teleparallel Theories
• Dynamics of a higher-dimension Einstein-Scalar-Gauss-Bonnet cosmology
• Dynamics of dark energy in a scalar-vector-torsion theory
• Multiscalar-torsion Cosmology: Exact and Analytic Solutions from Noether Symmetries
• Dynamical system analysis in multiscalar-torsion cosmology
• The scalar-torsion gravity corrections in the first-order inflationary models
• Spin connection and cosmological perturbations in scalar-torsion gravity
• Can an Extra Degree of Freedom in Scalar-Tensor Non-Metricity Gravity Account for the Evolution of the Universe?
• Global portraits of nonminimal teleparallel inflation