Anisotropic cosmological dynamics in $f(T)$ gravity in the presence of a perfect fluid

Abstract

We consider the cosmological evolution of a flat anisotropic Universe in $f(T)$ gravity in the presence of a perfect fluid. It is shown that the matter content of the Universe has a significant impact of the nature of a cosmological singularity in the model studied. Depending on the parameters of the $f(T)$ function and the equation of state of the perfect fluid in question the well-known Kasner regime of general relativity can be replaced by a new anisotropic solution, or by an isotropic regime, or the cosmological singularity changes its nature to a non-standard one with a finite values of Hubble parameters. Six possible scenarios of the cosmological evolution for the model studied have been found numerically.

18 pages, 6 figures, some corrections, published version

References in corpus (18)

• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Extended Gravity Cosmography
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Good and bad tetrads in f(T) gravity
• Cosmological Solutions of $f(T)$ Gravity
• Anisotropic Universe Models in f(T) Gravity
• Energy conditions bounds on f(T) gravity
• Remnant group of local Lorentz transformations in f(T) theories
• Dynamical systems approach and generic properties of $f(T)$ cosmology
• Phase Portraits of general f(T) Cosmology
• Interacting Dark Energy in f(T) cosmology : A Dynamical System analysis
• FRW in quadratic form of $f(T)$ gravitational theories
• Quest for the extra degree of freedom in f(T) gravity
• Finite-time future singularities models in $f(T)$ gravity and the effects of viscosity
• Stability of the Kasner Universe in f(T) Gravity
• On Kasner solution in Bianchi I $f(T)$ cosmology

Cited by in corpus (7)

• Teleparallel Gravity: From Theory to Cosmology
• Bianchi I cosmological solutions in teleparallel gravity
• Bianchi Type Cosmological Models in $f(T)$ Tele-parallel Gravity
• Spatially Homogeneous Teleparallel Gravity: Bianchi I
• Spatially homogeneous teleparallel spacetimes with four-dimensional groups of motions
• Exact Analytical Taub-NUT like Solution in f(T) Gravity
• More on Bianchi I spacetimes and f(T) gravity