New types of $f(T)$ gravity

Abstract

Recently $f(T)$ theories based on modifications of teleparallel gravity where torsion is the geometric object describing gravity instead of curvature have been proposed to explain the present cosmic accelerating expansion. The field equations are always second order, remarkably simpler than $f(R)$ theories. In analogy to the $f(R)$ theory, we consider here three types of $f(T)$ gravity, and find that all of them can give rise to cosmic acceleration with interesting features, respectively.

6 pages, 9 figures, some changes are made

References in corpus (35)

• Dynamics of dark energy
• Extended Theories of Gravity
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Are f(R) dark energy models cosmologically viable ?
• f(T) Gravity and local Lorentz invariance
• On Born-Infeld Gravity in Weitzenbock spacetime
• Matter Bounce Cosmology with the f(T) Gravity
• Equation of state for dark energy in $f(T)$ gravity
• Cosmological perturbations in f(T) gravity
• Accelerating universe from F(T) gravity
• Approaches to Understanding Cosmic Acceleration
• Observational constraints on $f(T)$ theory
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Cosmography in f(T)-gravity
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Large-scale Structure in f(T) Gravity
• Non trivial frames for f(T) theories of gravity and beyond
• Growth factor in f(T) gravity
• Observational information for f(T) theories and Dark Torsion
• Conformal transformation in $f(T)$ theories
• Static Solutions with Spherical Symmetry in f(T) Theories
• Classifying and avoiding singularities in the alternative gravity dark energy models
• Notes on $f(T)$ Theories
• $f(T)$ Theories and Varying Fine Structure Constant
• $f(R)$ gravity constrained by PPN parameters and stochastic background of gravitational waves
• Lorentz Invariance Violation and Chemical Composition of Ultra High Energy Cosmic Rays
• When Did Cosmic Acceleration Start ?
• f(R) Gravity and its Cosmological Implications
• Testing metric-affine f(R)-gravity by relic scalar gravitational waves

Cited by in corpus (80)

• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• f(T) teleparallel gravity and cosmology
• Reconstruction of $f(T)$ gravity: Rip cosmology, finite-time future singularities and thermodynamics
• Wormhole geometries in modified teleparralel gravity and the energy conditions
• Good and bad tetrads in f(T) gravity
• Generalized second law of thermodynamics in f(T) gravity
• Structure formation in $f(T)$ gravity and a solution for $H_0$ tension
• Analysis of F(R,T) Gravity Models Through Energy Conditions
• Noether Symmetry in $f(T)$ Theory
• Energy conditions bounds on f(T) gravity
• New observational constraints on f(T) gravity from cosmic chronometers
• Dynamics of Teleparallel Dark Energy
• Constant-roll Inflation in $f(T)$ Teleparallel Gravity
• Constraining f(T) teleparallel gravity by Big Bang Nucleosynthesis
• Regular black holes in $f(T)$ Gravity through a nonlinear electrodynamics source
• Solar System tests in $f(T)$ gravity
• Dynamical systems approach and generic properties of $f(T)$ cosmology
• $f(T)$ gravitational baryogenesis
• A special exact spherically symmetric solution in f(T) gravity theories
• Observational Constraints on $f(T)$ gravity from varying fundamental constants
• Constraining f(T) gravity in the Solar System
• Phase Portraits of general f(T) Cosmology
• New observational constraints on $f(T)$ cosmology from radio quasars
• F(T) gravity and k-essence
• LCDM Model in f(T) Gravity: Reconstruction, Thermodynamics and Stability
• Constraining $f(T)$ Theories with the Varying Gravitational Constant
• Holographic f(T)-gravity model with power-law entropy correction
• Effects of quantum fluctuations of metric on the universe
• Quest for the extra degree of freedom in f(T) gravity
• Compact stars in $f(T)$ extended theory of gravity
• Spherically Symmetric Solutions on a Non-Trivial Frame in f(T) Theories of Gravity
• Cosmic acceleration in non-flat $f(T)$ cosmology
• Study of Anisotropic Compact Stars with Quintessence Field and Modified Chaplygin Gas in f(T) Gravity
• Schwarzschild solution in extended teleparallel gravity
• Cosmology of F(T) gravity and k-essence
• Extended Birkhoff's Theorem in the f(T) Gravity
• Probing modified gravity theories with multiple measurements of high-redshift quasars
• Can $f(T)$ gravity theories mimic $\Lambda$CDM cosmic history
• Power-law and intermediate inflationary models in f(T)-gravity
• Generalized Teleparallel Gravity Via Some Scalar Field Dark Energy Models
• QCD ghost f(T)-gravity model
• Five-dimensional generalized $f(R)$ gravity with curvature-matter coupling
• Nonlinear Electrodynamics in $f(T)$ Gravity and Generalized Second Law of Thermodynamics
• Modified teleparallel gravity with higher-derivative torsion terms
• Logamediate Inflation in f(T) Teleparallel Gravity
• Cosmological Evolution for Dark Energy Models in f(T) Gravity
• Cosmological viability conditions for $f(T)$ dark energy models
• Constraining the Schwarzschild-de Sitter Solution in Models of Modified Gravity
• Black-Bounce in $f(T)$ Gravity
• Born-Infeld and Charged Black Holes with non-linear source in $f(T)$ Gravity
• Testing modified gravity models with recent cosmological observations
• Rotating and non-rotating AdS black holes in $f(\mathcal{T})$ gravity non-linear electrodynamics
• On the Viability of the Intermediate Inflation Scenario with $F(T)$ Gravity
• Kantowski-Sachs Universe Models in $f(T)$ Theory of Gravity
• Anisotropic Quintessence Strange Stars in f(T) Gravity with Modified Chaplygin Gas
• Absence of Relativistic Stars in f(T) Gravity
• Probing modified gravity theories with the Sandage-Loeb test
• Violation of causality in $f(T)$ gravity
• Gödel-type universes in f(T) gravity
• Boson stars in $f(T)$ extended theory of gravity
• PeV IceCube signals and Dark Matter relic abundance in modified cosmologies
• Light bending in $f(T)$ gravity
• Test of conformal gravity with astrophysical observations
• Charged Anti-de Sitter BTZ black holes in Maxwell-$f(T)$ gravity
• Birkhoff's Theorem in f(T) Gravity up to the Perturbative Order
• Transient acceleration in $f(T)$ gravity
• Updated F(T) gravity constraints from high redshift cosmography
• Dynamic properties of cyclic cosmologies
• Renyi Holographic Dark Energy models in Teleparallel gravity
• Bifurcation and Global Dynamical Behavior of the $f(T)$ Theory
• Interacting Models of Dark Energy and Dark Matter in Einstein scalar Gauss Bonnet Gravity
• Non-minimally Coupled Tachyon Field in Teleparallel Gravity
• Phantom-Like Behavior in Modified Teleparallel Gravity
• Generalized Teleparallel Theory
• Quadratic and cubic spherically symmetric black holes in the modified teleparallel equivalent of general relativity: Energy and thermodynamics
• Focusing conditions for extended teleparallel gravity theories
• The Universe according to DESI results
• Cosmologies in $f(R,{\mathcal{L}}_m)$ theory with non-minimal coupling between geometry and matter
• Black holes solutions in power-law Maxwell-$f(T)$ gravity in diverse dimensions