Foundational issues in f(T) gravity theory

Abstract

We give a short review on the status of research on the theoretical foundations of $f(T)$ gravity theories. We discuss recent results on perturbative and non-perturbative approaches, causality and degrees of freedom, and discuss future directions to follow.

13 pages, no figures, comments welcome; matches the published version

References in corpus (10)

• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Cosmological perturbations in f(T) gravity
• Degrees of freedom of $f(T)$ gravity
• Conformal transformation in $f(T)$ theories
• Weak-Field Spherically Symmetric Solutions in $f(T)$ gravity
• Remnant group of local Lorentz transformations in f(T) theories
• Remnant Symmetry, Propagation and Evolution in f(T) Gravity
• McVittie solution in f(T) gravity
• Disformal transformations in modified teleparallel gravity

Cited by in corpus (49)

• Teleparallel Gravity: From Theory to Cosmology
• General covariant symmetric teleparallel cosmology
• Observational constraints on two cosmological models of $f(Q)$ theory
• Black Holes in $f(T,B)$ Gravity: Exact and Perturbed Solutions
• Perturbations in Non-Flat Cosmology for $f(T)$ gravity
• On the viability of $f(Q)$ gravity models
• Homogeneous and isotropic cosmology in general teleparallel gravity
• The effective field theory approach to the strong coupling issue in $f(T)$ gravity
• Issues of Lorentz-invariance in f(T) gravity and calculations for spherically symmetric solutions
• Approaches to spherically symmetric solutions in f(T) gravity
• Lorentz gauge-invariant variables in torsion-based theories of gravity
• Well-tempered teleparallel Horndeski cosmology: a teleparallel variation to the cosmological constant problem
• Exploring the stability of $f(Q)$ cosmology near general relativity limit with different connections
• Lorentz symmetries and primary constraints in covariant teleparallel gravity
• Revisiting diagonal tetrads: New Black Hole solutions in $f(T)$ gravity
• Geometry and covariance of symmetric teleparallel theories of gravity
• Spontaneous Scalarization of Black Holes in Gauss-Bonnet Teleparallel Gravity
• Thick accretion disk configurations in the Born-Infeld teleparallel gravity
• Teleparallel gravity
• Spatial curvature in coincident gauge $f(Q)$ cosmology
• Unexplored regions in teleparallel $f(T)$ gravity: Sign-changing dark energy density
• Stability of symmetric teleparallel scalar-tensor cosmologies with alternative connections
• On the role of constraints and degrees of freedom in the Hamiltonian formalism
• General teleparallel metrical geometries
• Scalar induced gravitational waves in metric teleparallel gravity with the Nieh-Yan term
• The geometrical meaning of the Weitzenböck connection
• Scalar induced gravitational waves in symmetric teleparallel gravity with a parity-violating term
• A geometric view on local Lorentz transformations in teleparallel gravity
• Scale-invariant cosmology in de Sitter gauge theory
• Hamilton's equations in the covariant teleparallel equivalent of general relativity
• On the degrees of freedom count on singular phase space submanifolds
• Static spherically symmetric solutions in New General Relativity
• Gravitational Waves in New General Relativity
• Conformal Transformations and Cosmological Perturbations in New General Relativity
• Degrees of Freedom in modified Teleparallel Gravity
• Teleparallel Geometry with Spherical Symmetry: The diagonal and proper frames
• Teleparallel Minkowski Spacetime with Perturbative Approach for Teleparallel Gravity on a Proper Frame
• Field transformations and invariant quantities in scalar-teleparallel theories of gravity
• Role of the remnant symmetries in gravitational theories based on absolute parallelism: a 2D standpoint
• Contemplating the fate of modified gravity
• The Hamiltonian constraint in the symmetric teleparallel equivalent of general relativity
• Spatially homogeneous teleparallel spacetimes with four-dimensional groups of motions
• Weak Gravity Limit in Newer General Relativity
• Generalized Hidden Conformal Symmetry in Quadratic $f(T)$ Gravity
• New Rotating Black Hole Solutions With Imperfect Fluid Energy-Momentum Tensor In $f(R)$ Gravity
• Exact Analytical Taub-NUT like Solution in f(T) Gravity
• Post-Newtonian limit of generalized scalar-teleparallel theories of gravity
• New Lorentzian Taub-NUT and Euclidean Eguchi-Hanson Solutions in $f(R)$ gravity
• More on Bianchi I spacetimes and f(T) gravity