Homogeneous and isotropic cosmology in general teleparallel gravity

Abstract

We derive the most general homogeneous and isotropic teleparallel geometries, defined by a metric and a flat, affine connection. We find that there are five branches of connection solutions, which are connected via several limits, and can further be restricted to the torsion-free and metric-compatible cases. We apply our results to several classes of general teleparallel gravity theories and derive their cosmological dynamics for all five branches. Our results show that for large subclasses of these theories the dynamics reduce to that of closely related metric or symmetric teleparallel gravity theories, while for other subclasses up to two new scalar degrees of freedom participate in the cosmological dynamics.

21 pages, 1 figure

References in corpus (3)

• Non-trivial Minkowski backgrounds in f(T) gravity
• Variational Principles in Teleparallel Gravity Theories
• Teleparallel gravity

Cited by in corpus (26)

• The role of the boundary term in $f(Q,B)$ symmetric teleparallel gravity
• Data reconstruction of the dynamical connection function in $f(Q)$ cosmology
• Modelling the Accelerating Universe with $f(Q)$ Gravity: Observational Consistency
• Neutron Star in Covariant $f(Q)$ gravity
• Equivalence of $f(Q)$ cosmology with quintom-like scenario: the phantom field as effective realization of the non-trivial connection
• Spatial curvature in coincident gauge $f(Q)$ cosmology
• Stability of symmetric teleparallel scalar-tensor cosmologies with alternative connections
• Stability of $f(Q,B)$ Gravity via Dynamical System Approach: a Comprehensive Bayesian Statistical Analysis
• General teleparallel metrical geometries
• Gibbons-Hawking-York boundary terms and the generalized geometrical trinity of gravity
• Cosmological solutions in teleparallel $F(T,B)$ gravity
• Stable $f(Q)$ gravity model through non-trivial connection
• Scalar Field Kantowski--Sachs Solutions in Teleparallel $F(T)$ Gravity
• Scalar field source Teleparallel Robertson-Walker F(T)-gravity solutions
• Background-dependent and classical correspondences between $f(Q)$ and $f(T)$ gravity
• Field transformations and invariant quantities in scalar-teleparallel theories of gravity
• Local Limit of Nonlocal Gravity: Cosmological Perturbations
• Conventionalism, cosmology and teleparallel gravity
• Cosmologies in $f(R,{\mathcal{L}}_m)$ theory with non-minimal coupling between geometry and matter
• The Universe according to DESI results
• The canonical energy-momentum currents in cosmology
• Scalar Field Static Spherically Symmetric Solutions in Teleparallel $F(T)$ Gravity
• Cosmic expansion history analysis with Hubble parametrization in $Q^n$ gravity
• Post-Newtonian limit of generalized scalar-teleparallel theories of gravity
• Electromagnetic Sources Teleparallel Robertson--Walker $F(T)$-Gravity Solutions
• Chaplygin and Polytropic gases Teleparallel Robertson-Walker $F(T)$ gravity solutions