Teleparallel axions and cosmology

Abstract

We consider the most general teleparallel theory of gravity whose action is a linear combination of the five scalar invariants which are quadratic in the torsion tensor. Since two of these invariants possess odd parity, they naturally allow for a coupling to pseudo-scalar fields, thus yielding a Lagrangian which is even under parity transformations. In analogy to similar fields in gauge theories, we call these pseudo-scalar fields \emph{teleparallel axions}. For the most general coupling of a single axion field, we derive the cosmological field equations. We find that for a family of cosmologically symmetric teleparallel geometries, which possess non-vanishing axial torsion, the axion coupling contributes to the cosmological dynamics in the early universe. Most remarkably, this contribution is also present when the axion is coupled to the teleparallel equivalent of general relativity, hence allowing for a canonical coupling of a pseudo-scalar to general relativity. For this case we schematically present the influence of the axion coupling on the fixed points in the cosmological dynamics understood as dynamical system. Finally, we display possible generalizations and similar extensions in other geometric frameworks to model gravity.

16 pages, 4 figures; journal version

References in corpus (15)

• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• The teleparallel equivalent of general relativity
• On Born-Infeld Gravity in Weitzenbock spacetime
• New classes of modified teleparallel gravity models
• Unification of Inflation with Dark Energy in $f(R)$ Gravity and Axion Dark Matter
• Higgs inflation with the Holst and the Nieh-Yan term
• A simple parity violating gravity model without ghost instability
• Relativistic analysis of magnetoelectric crystals: extracting a new 4-dimensional P odd and T odd pseudoscalar from Cr_2 O_3 data
• Variational Principles in Teleparallel Gravity Theories
• Complete classification of cosmological teleparallel geometries
• General cosmological perturbations in teleparallel gravity
• The Perfect Hyperfluid of Metric-Affine Gravity: The Foundation
• Torsion-induced gravitational $\theta$ term and gravitoelectromagnetism
• Photon propagator for axion electrodynamics

Cited by in corpus (25)

• Teleparallel Gravity: From Theory to Cosmology
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• General covariant symmetric teleparallel cosmology
• Perturbations in Non-Flat Cosmology for $f(T)$ gravity
• Constraints on the Nieh-Yan modified teleparallel gravity with gravitational waves
• A simple parity violating model in the symmetric teleparallel gravity and its cosmological perturbations
• Possible consistent model of parity violations in the symmetric teleparallel gravity
• Scalarized Black Holes in Teleparallel Gravity
• A frame based approach to computing symmetries with non-trivial isotropy groups
• Ghost instability in the teleparallel gravity model with parity violations
• Circularly polarized scalar induced gravitational waves from the Chern-Simons modified gravity
• Spherically symmetric teleparallel geometries
• Scalar induced gravitational waves from Chern-Simons gravity during inflation era
• Positivity Bounds on parity-violating scalar-tensor EFTs
• Scalar induced gravitational waves in metric teleparallel gravity with the Nieh-Yan term
• Polarized gravitational waves in the parity violating scalar-nonmetricity theory
• Irregular universe in the Nieh-Yan modified teleparallel gravity
• Axion gravitodynamics, Lense-Thirring effect, and gravitational waves
• Scalar induced gravitational waves in symmetric teleparallel gravity with a parity-violating term
• Scale-invariant cosmology in de Sitter gauge theory
• Probing symmetric teleparallel gravity in the early universe
• Gravitational leptogenesis in teleparallel and symmetric teleparallel gravities
• Issue of Branched Hamiltonian, Inflation and indispensability of scalar field in generalized Teleparallel theories
• Self-Excited Gravitational Instantons
• Revisiting a parity violating gravity model without ghost instability: Local Lorentz covariance