Minkowski space in $f(T)$ gravity

Abstract

The full set of solutions of $f(T)$ gravity with the Minkowski metric is considered in this note. At the 4-th order in perturbations around the trivial tetrad solution, a new mode is found explicitly. Its presence signals a strong coupling problem that transcends the Minkowski background and also suggests the pathological nature of cosmological solutions.

arXiv comment5 pages. v2: metadata corrected, conclusion slightly sharpened

References in corpus (20)

• f(T) teleparallel gravity and cosmology
• Generalized G-inflation: Inflation with the most general second-order field equations
• Modified teleparallel gravity: inflation without inflaton
• f(T) Gravity and local Lorentz invariance
• Degrees of freedom of $f(T)$ gravity
• On the covariance of teleparallel gravity theories
• Can Horndeski Theory be recast using Teleparallel Gravity?
• Cosmological perturbations in modified teleparallel gravity models
• General Teleparallel Quadratic Gravity
• Hamiltonian formalism for f(T) gravity
• Remnant group of local Lorentz transformations in f(T) theories
• Quest for the extra degree of freedom in f(T) gravity
• Non-Linear Obstructions for Consistent New General Relativity
• Reflections on the covariance of modified teleparallel theories of gravity
• Pseudoinvariance and the extra degree of freedom in f(T) gravity
• Counting Components in the Lagrange Multiplier Formulation of Teleparallel Theories
• 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
• Disformal Transformations in Scalar-Torsion Gravity
• Disformal transformations in modified teleparallel gravity

Cited by in corpus (36)

• Teleparallel Gravity: From Theory to Cosmology
• General covariant symmetric teleparallel cosmology
• Gaussian processes and effective field theory of $f(T)$ gravity under the $H_0$ tension
• Perturbations in Non-Flat Cosmology for $f(T)$ gravity
• Review of the Hamiltonian analysis in teleparallel gravity
• Homogeneous and isotropic cosmology in general teleparallel gravity
• Static spherically symmetric black holes in weak f(T)-gravity
• Bianchi identities in f(T) gravity: paving the way to confrontation with astrophysics
• The effective field theory approach to the strong coupling issue in $f(T)$ gravity
• General cosmological perturbations in teleparallel gravity
• Well-tempered teleparallel Horndeski cosmology: a teleparallel variation to the cosmological constant problem
• A class of ghost-free theories in symmetric teleparallel geometry
• Spontaneous Scalarization of Black Holes in Gauss-Bonnet Teleparallel Gravity
• Thick accretion disk configurations in the Born-Infeld teleparallel gravity
• Accelerating Cosmological Models in $f(T,B)$ Gravitational Theory
• Spatial curvature in coincident gauge $f(Q)$ cosmology
• Stability of symmetric teleparallel scalar-tensor cosmologies with alternative connections
• Cosmic Growth in $f(T)$ Teleparallel Gravity
• General teleparallel metrical geometries
• Schrödinger Connections: From Mathematical Foundations Towards Yano-Schrödinger Cosmology
• A geometric view on local Lorentz transformations in teleparallel gravity
• The Gauss-Bonnet topological scalar in the Geometric Trinity of Gravity
• Matching tetrads in f(T) gravity
• Gravitational Waves in New General Relativity
• Teleparallel bigravity
• Teleparallel Geometry with Spherical Symmetry: The diagonal and proper frames
• Hamiltonian Analysis of Pre-geometric Gravity
• 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
• Spatially homogeneous teleparallel spacetimes with four-dimensional groups of motions
• A Unified Dynamical Systems Framework for Cosmology in $f(Q)$ Gravity: Generic Features Beyond the Coincident Gauge
• Local symmetries in $f(T)$-like models: lessons from 2D
• Post-Newtonian limit of generalized scalar-teleparallel theories of gravity
• Comparison of Quasinormal Modes of Black Holes in $f(\mathbb{T})$ and $f(\mathbb{Q})$ Gravity
• Excited state fluid mechanics and mathematical principles of separation and transition