Teleparallel quintessence with a nonminimal coupling to a boundary term

Abstract

We propose a new model in the teleparallel framework where we consider a scalar field nonminimally coupled to both the torsion $T$ and a boundary term given by the divergence of the torsion vector $B=\frac{2}{e}{\partial }_{\mu }(e{T}^{\mu })$. This is inspired by the relation $R=-T+B$ between the Ricci scalar of general relativity and the torsion of teleparallel gravity. This theory in suitable limits incorporates both the nonminimal coupling of a scalar field to torsion, and the nonminimal coupling of a scalar field to the Ricci scalar. We analyse the cosmology of such models, and we perform a dynamical systems analysis on the case when we have only a pure coupling to the boundary term. It is found that the system generically evolves to a late time accelerating attractor solution without requiring any fine tuning of the parameters. A dynamical crossing of the phantom barrier is also shown to be possible.

Equation (27) corrected. Subsequent equations correspondingly corrected. Results and conclusions are unchanged

References in corpus (23)

• Dynamics of dark energy
• Cosmology and the Fate of Dilatation Symmetry
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Cosmological Evolution of a Quintom Model of Dark Energy
• The teleparallel equivalent of general relativity
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Dynamics of dark energy with a coupling to dark matter
• Non-minimally coupled canonical, phantom and quintom models of holographic dark energy
• Quintom cosmologies admitting either tracking or phantom attractors
• Quintom cosmologies with arbitrary potentials
• Parametrizations of the Dark Energy Density and Scalar Potentials
• Quintom model with O($N$) symmetry
• On phenomenological models of dark energy interacting with dark matter
• Stability of a non-minimally conformally coupled scalar field in F(T) cosmology
• Dynamical features of scalar-torsion theories
• Internal space structure generalization of the quintom cosmological scenario
• Interacting quintessence from a variational approach Part II: derivative couplings
• Interacting quintessence from a variational approach Part I: algebraic couplings
• Scalar Tensor Teleparallel Dark Gravity via Noether Symmetry
• Self-Gravitating Spherically Symmetric Solutions in Scalar-Torsion Theories
• Distinguishing interacting dark energy from wCDM with CMB, lensing, and baryon acoustic oscillation data
• Teleparallel dark energy model with a fermionic field via Noether symmetry
• Dark Energy from Gauss-Bonnet and non-minimal couplings

Cited by in corpus (49)

• f(T) teleparallel gravity and cosmology
• Teleparallel Gravity: From Theory to Cosmology
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Modified teleparallel theories of gravity
• Nonmetricity formulation of general relativity and its scalar-tensor extension
• On the covariance of teleparallel gravity theories
• Noether Symmetry Approach in $f(T,B)$ teleparallel cosmology
• Covariant formulation of scalar-torsion gravity
• Can Horndeski Theory be recast using Teleparallel Gravity?
• New observational constraints on f(T) gravity from cosmic chronometers
• New classes of modified teleparallel gravity models
• Scalar-Tensor Teleparallel Wormholes by Noether Symmetries
• Dynamical system analysis of generalized energy-momentum-squared gravity
• Dynamical systems approach and generic properties of $f(T)$ cosmology
• Conformal transformations in modified teleparallel theories of gravity revisited
• Modified gravity: a unified approach
• Scalar-torsion theories of gravity III: analogue of scalar-tensor gravity and conformal invariants
• Gravitational waves in modified teleparallel theories of gravity
• Effective gravitational coupling in modified teleparallel theories
• General relativity as an attractor for scalar-torsion cosmology
• Nonlocal Teleparallel Cosmology
• Higgs inflation and teleparallel gravity
• Generalised teleparallel quintom dark energy non-minimally coupled with the scalar torsion and a boundary term
• Cosmological dynamics of scalar fields with kinetic corrections: Beyond the exponential potential
• Einstein's cluster mimicking compact star in the teleparallel equivalent of general relativity
• Noether charge and black hole entropy in teleparallel gravity
• Generalized Second Law of Thermodynamic in Modified Teleparallel Theory
• Exploring Axial Symmetry in Modified Teleparallel Gravity
• Scalarized Black Holes in Teleparallel Gravity
• Teleparallel axions and cosmology
• Generalised nonminimally gravity-matter coupled theory
• 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
• Spontaneous Scalarization of Black Holes in Gauss-Bonnet Teleparallel Gravity
• The Chaplygin gas as a model for modified teleparallel gravity?
• Inflation with teleparallelism: Can torsion generate primordial fluctuations without local Lorentz symmetry?
• String-inspired Teleparallel Cosmology
• Asymptotic cosmological regimes in scalar-torsion gravity with a perfect fluid
• Interacting Quintessence in a New Scalar-Torsion Gravity
• Modified Teleparallel Gravity induced by quantum fluctuations
• Late time evolution of a nonminimally coupled scalar field system
• Cosmological fluids with boundary term couplings
• Late-time power-law stages of cosmological evolution in teleparallel gravity with nonminimal coupling
• Distinctive Features of Hairy Black Holes in Teleparallel Gauss-Bonnet Gravity
• Unified Dark Energy and Dark Matter from Dynamical Spacetime Cosmology
• Global portraits of nonminimal teleparallel inflation
• Parameterized post Newtonian approximation in a teleparallel model of dark energy with a boundary term