More on Bianchi I spacetimes and f(T) gravity
arXiv:2508.15322 · doi:10.1007/s10714-026-03518-1
Abstract
Bianchi I cosmological solutions in f(T) gravity are discussed. We start from diagonal metrics and tetrads and show that their dynamical equations are pretty much tractable analytically, with a possible arena for physical applications. Then we derive a very bad unpredictability of the teleparallel connection in these configurations. Namely, even for the simple isotropic Friedmann universes, one might apply an arbitrary time-dependent spatial rotation to the standard tetrad without changing anything in the cosmological equations.
19 pages; final version; minor clarifications added
References in corpus (18)
- Modified teleparallel gravity: inflation without inflaton
- Can dark energy evolve to the Phantom?
- Degrees of freedom of gravity
- Cosmological Solutions of Gravity
- Anisotropic Universe Models in f(T) Gravity
- Remnant group of local Lorentz transformations in f(T) theories
- Dark Energy, Inflation and Extra Dimensions
- Remnant Symmetry, Propagation and Evolution in f(T) Gravity
- Bianchi identities in f(T) gravity: paving the way to confrontation with astrophysics
- Issues of Lorentz-invariance in f(T) gravity and calculations for spherically symmetric solutions
- Revisiting diagonal tetrads: New Black Hole solutions in gravity
- Foundations of ghost stability
- On the role of constraints and degrees of freedom in the Hamiltonian formalism
- The geometrical meaning of the Weitzenböck connection
- Bianchi I cosmological solutions in teleparallel gravity
- On the degrees of freedom count on singular phase space submanifolds
- Spatially Homogeneous Teleparallel Gravity: Bianchi I
- Brane cosmology in teleparallel and gravity