Cosmological applications of $F(T,T_G)$ gravity

Abstract

We investigate the cosmological applications of $F(T,T_G)$ gravity, which is a novel modified gravitational theory based on the torsion invariant $T$ and the teleparallel equivalent of the Gauss-Bonnet term $T_G$. $F(T,T_G)$ gravity differs from both $F(T)$ theories as well as from $F(R,G)$ class of curvature modified gravity, and thus its corresponding cosmology proves to be very interesting. In particular, it provides a unified description of the cosmological history from early-times inflation to late-times self-acceleration, without the inclusion of a cosmological constant. Moreover, the dark energy equation-of-state parameter can be quintessence or phantom-like, or experience the phantom-divide crossing, depending on the parameters of the model.

10 pages, 4 figures, version published in Phys. Rev. D. arXiv admin note: substantial text overlap with arXiv:1404.2249

References in corpus (26)

• 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
• On Born-Infeld Gravity in Weitzenbock spacetime
• Cosmological perturbations in f(T) gravity
• Construction of cosmologically viable f(G) gravity models
• Observational constraints on $f(T)$ theory
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Good and bad tetrads in f(T) gravity
• Solar system constraints on f(T) gravity
• Massive gravity: nonlinear instability of the homogeneous and isotropic universe
• Observational information for f(T) theories and Dark Torsion
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Static Solutions with Spherical Symmetry in f(T) Theories
• Dynamical behavior in $f(T,T_G)$ cosmology
• Exact charged black-hole solutions in D-dimensional f(T) gravity: torsion vs curvature analysis
• Anisotropic Universe Models in f(T) Gravity
• Fourth order Weyl gravity
• Inflation with a Weyl term, or ghosts at work
• QCD ghost reconstruction of f(T) gravity in flat FRW universe

Cited by in corpus (47)

• Teleparallel Gravity: From Theory to Cosmology
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Modified cosmology from extended entropy with varying exponent
• Cosmology in $f(Q)$ gravity: A unified dynamical system analysis at background and perturbation levels
• New observational constraints on $f(R)$ gravity from cosmic chronometers
• Cosmological bouncing solutions in f(T,B) gravity
• Dynamical features of scalar-torsion theories
• Remnant group of local Lorentz transformations in f(T) theories
• Cosmology in cubic and $f(P)$ gravity
• Noether Symmetries in Gauss-Bonnet-teleparallel cosmology
• Modified cosmology through Kaniadakis horizon entropy
• Non-metricity with bounday terms: $f(Q,C)$ gravity and cosmology
• Late-time cosmology with phantom dark-energy in $f(Q)$ gravity
• New observational constraints on $f(T)$ cosmology from radio quasars
• Self-Gravitating Spherically Symmetric Solutions in Scalar-Torsion Theories
• Perturbations in Non-Flat Cosmology for $f(T)$ gravity
• Big Bang Nucleosynthesis constraints on higher-order modified gravities
• Deflection angle and lensing signature of covariant f(T) gravity
• Higgs inflation and teleparallel gravity
• Thick brane in f(T,B) gravity
• Metric-Affine Gravity and Cosmology/Aspects of Torsion and non-Metricity in Gravity Theories
• Can $f(T)$ models play a bridge between early and late time Universe?
• Impact of $H_0$ priors on $f(T)$ late time cosmology
• Dynamical complexity of the Teleparallel gravity cosmology
• Cosmological models in $f(T,\mathcal{T})$ gravity and the dynamical system analysis
• Constraining extended teleparallel gravity via cosmography: A model-independent approach
• Observational test for $f(Q)$ gravity with weak gravitational lensing
• Alleviating $H_0$ tension in scalar-tensor and bi-scalar-tensor theories
• Big Bang Nucleosynthesis constraints on $f(T,T_G)$ gravity
• Observational Constraints and Cosmographic Analysis of $f(T,T_G)$ Gravity and Cosmology
• Noether Symmetries in $f(T,T_G)$ Cosmology
• Configurational Entropy and braneworlds in f(T,B) gravity
• A viable form of the metric Teleparallel F(T) theory of gravity
• Dynamical features of $f(T,B)$ cosmology
• Modified gravity from Weyl connection and the $f(R,\mathcal{A})$ extension
• Symmetric Teleparallel Gauss-Bonnet Gravity and its Extensions
• Constraining $f(T,B,T_G,B_G)$ gravity by dynamical system analysis
• Charged black hole solutions in $f(R,T)$ gravity coupled to nonlinear electrodynamics
• Dynamical system analysis in modified Galileon cosmology
• Reply to "Comment on `Energy Conditions in $f(Q)$ gravity'"
• Propagating Gravitational Waves in Teleparallel Gauss-Bonnet Gravity
• Modified Einstein-Gauss-Bonnet gravity: Riemann-Cartan and Pseudo-Riemannian cases
• Late Time Phenomena in $f(T,\mathcal{T})$ Gravity Framework: Role of $H_0$ Priors
• Hubble Tension and Dark Energy in Teleparallel Gauss-Bonnet Gravity: New Constraints from DESI BAO, Pantheon${}^{+}$ and Hubble Data
• Inflation from entropy
• Gauge invariant perturbations of $F(T,T_G)$ Cosmology
• Growth factor in teleparallel Gauss-Bonnet gravity