Dynamical behavior in $f(T,T_G)$ cosmology

Abstract

The $f(T,T_G)$ class of gravitational modification, based on the quadratic torsion scalar $T$, as well as on the new quartic torsion scalar $T_G$ which is the teleparallel equivalent of the Gauss-Bonnet term, is a novel theory, different from both $f(T)$ and $f(R,G)$ ones. We perform a detailed dynamical analysis of a spatially flat universe governed by the simplest non-trivial model of $f(T,T_G)$ gravity which does not introduce a new mass scale. We find that the universe can result in dark-energy dominated, quintessence-like, cosmological-constant-like or phantom-like solutions, according to the parameter choices. Additionally, it may result to a dark energy - dark matter scaling solution, and thus it can alleviate the coincidence problem. Finally, the analysis "at infinity" reveals that the universe may exhibit future, past, or intermediate singularities depending on the parameters.

23 pages, 6 figures, matches the version published in CQG

References in corpus (14)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Reconstructing Dark Energy
• The teleparallel equivalent of general relativity
• Construction of cosmologically viable f(G) gravity models
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• Solar system constraints on f(T) gravity
• Classifying and avoiding singularities in the alternative gravity dark energy models
• Attractor Solutions in f(T) Cosmology
• Fourth order Weyl gravity
• Possible 2S and 1D charmed and charmed-strange mesons

Cited by in corpus (20)

• $f(T,\mathcal{T})$ gravity and cosmology
• Cosmological applications of $F(T,T_G)$ gravity
• Autonomous Dynamical System Approach for $f(R)$ Gravity
• Testing wormhole solutions in extended gravity through the Poynting-Robertson effect
• New observational constraints on $f(R)$ gravity from cosmic chronometers
• Cosmological bouncing solutions in f(T,B) gravity
• Dynamical features of scalar-torsion theories
• Late-time cosmology with phantom dark-energy in $f(Q)$ gravity
• Non-Local Gravity Cosmology: an Overview
• Self-Gravitating Spherically Symmetric Solutions in Scalar-Torsion Theories
• Effects of Spatial Curvature on the $f(R)$ Gravity Phase Space: no Inflationary Attractor?
• Some remarks about non-minimally coupled scalar field models
• Generalized Gravitational Baryogenesis of Well-Known $f(T,T_G)$ and $f(T,B)$ Models
• The Classical and Loop Quantum Cosmology Phase Space of Interacting Dark Energy and Superfluid Dark Matter
• Dark energy and dark matter unification from dynamical space time: observational constraints and cosmological implications
• Dynamical analysis of nonminimal coupled theories
• Big Bang Nucleosynthesis constraints on $f(T,T_G)$ gravity
• Phase space analysis of the bouncing universe with stringy effects
• Can $f(R)$ gravity isotropize a pre-bounce contracting universe?
• $f(Q,T)$ gravity, its covariant formulation, energy conservation and phase-space analysis