Cosmological viability conditions for $f(T)$ dark energy models

Abstract

Recently $f(T)$ modified teleparallel gravity where T is the torsion scalar has been proposed as the natural gravitational alternative for dark energy. We perform a detailed dynamical analysis of these models and find conditions for the cosmological viability of $f(T)$ dark energy models as geometrical constraints on the derivatives of these models. We show that in the phase space exists two cosmologically viable trajectory which (i) The universe would start from an unstable radiation point, then pass a saddle standard matter point which is followed by accelerated expansion de sitter point. (ii) The universe starts from a saddle radiation epoch, then falls onto the stable matter era and the system can not evolve to the dark energy dominated epoch. Finally, for a number of $f(T)$ dark energy models were proposed in the more literature, the viability conditions are investigated.

15 pages, 7 figures, Accepted for publication in JCAP (2012)

References in corpus (12)

• Cosmology and the Fate of Dilatation Symmetry
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Conditions for the cosmological viability of f(R) dark energy models
• Cosmological perturbations in f(T) gravity
• Generalizations of teleparallel gravity and local Lorentz symmetry
• $f(T)$ models with phantom divide line crossing
• Observational information for f(T) theories and Dark Torsion
• Generalized Second Law of Thermodynamics in Quintom Dominated Universe
• On the way from matter-dominated era to dark energy universe
• Modified gravity as an alternative for Lambda-CDM cosmology

Cited by in corpus (16)

• f(T) teleparallel gravity and cosmology
• Teleparallel Gravity: From Theory to Cosmology
• Noether symmetries and analytical solutions in f(T)-cosmology: A complete study
• New observational constraints on f(T) gravity from cosmic chronometers
• Dynamical systems approach and generic properties of $f(T)$ cosmology
• Phase Portraits of general f(T) Cosmology
• LCDM Model in f(T) Gravity: Reconstruction, Thermodynamics and Stability
• Energy conditions in $f(T)$ gravity with non-minimal torsion-matter coupling
• Charged Black Holes in Generalized Teleparallel Gravity
• Can $f(T)$ gravity theories mimic $\Lambda$CDM cosmic history
• Planar Symmetry in f(T) gravity
• Geodesic Deviation Equation in $\Lambda$CDM $f(T,\mathcal{T})$ gravity
• Evaporation phenomena in f(T) gravity
• Energy Conditions in Gauss-Bonnet Gravity
• Isotropic universe with almost scale-invariant fourth-order gravity
• Realistic f(T) model describing the de Sitter epoch of the dark energy dominated universe