# f(T) teleparallel gravity and cosmology

@article{Cai2015fTTG, title={f(T) teleparallel gravity and cosmology}, author={Yi-Fu Cai and Salvatore Capozziello and Mariafelicia De Laurentis and Emmanuel N. Saridakis}, journal={Reports on Progress in Physics}, year={2015}, volume={79} }

Over recent decades, the role of torsion in gravity has been extensively investigated along the main direction of bringing gravity closer to its gauge formulation and incorporating spin in a geometric description. Here we review various torsional constructions, from teleparallel, to Einstein–Cartan, and metric-affine gauge theories, resulting in extending torsional gravity in the paradigm of f (T) gravity, where f (T) is an arbitrary function of the torsion scalar. Based on this theory, we…

## 796 Citations

### Structure formation in f(T) gravity and a solution for H0 tension

- Physics, Geology
- 2018

We investigate the evolution of scalar perturbations in f(T) teleparallel gravity and its effects on the cosmic microwave background (CMB) anisotropy. The f(T) gravity generalizes the teleparallel…

### Cosmological bouncing solutions in f(T, B) gravity

- PhysicsThe European Physical Journal C
- 2020

Teleparallel Gravity offers the possibility of reformulating gravity in terms of torsion by exchanging the Levi-Civita connection with the Weitzenböck connection which describes torsion rather than…

### Constant-roll inflation in f(T) teleparallel gravity

- PhysicsJournal of Cosmology and Astroparticle Physics
- 2018

We investigate in detail the implications of the constant-roll condition on the inflationary era of a scalar field coupled to a teleparallel f(T) gravity. The resulting cosmological equations…

### Geodesic congruences and a collapsing stellar distribution in f(T) theories

- Physics, Geology
- 2020

Teleparallel Gravity (TG) describes gravitation as a torsional- rather than curvature-based effect. As in curvature-based constructions of gravity, several different formulations can be proposed, one…

### The effective field theory approach of teleparallel gravity, f(T) gravity and beyond

- PhysicsJournal of Cosmology and Astroparticle Physics
- 2018

We develop the effective field theory approach to torsional modified gravities, a formalism that allows for the systematic investigation of the background and perturbation levels separately. Starting…

### Gravitational waves in modified teleparallel theories

- PhysicsPhysical Review D
- 2018

We investigate the gravitational waves and their properties in various modified teleparallel theories, such as $f(T), f(T,B)$ and $f(T,T_G)$ gravities. We perform the perturbation analysis both…

### Quantum Cosmology of f(R, T) gravity

- PhysicsExtensions of f(R) Gravity
- 2018

Modified gravity theories have the potential of explaining the recent acceleration of the Universe without resorting to the mysterious concept of dark energy. In particular, it has been pointed out…

### Reconstruction from scalar–tensor theory and the inhomogeneous equation of state in f(T) gravity

- Physics
- 2017

General relativity (GR) characterizes gravity as a geometric properly exhibited as curvature on spacetime. Teleparallelism describes gravity through torsional properties, and can reproduce GR at the…

### Reconstruction from scalar–tensor theory and the inhomogeneous equation of state in f(T) gravity

- PhysicsThe European Physical Journal C
- 2017

General relativity (GR) characterizes gravity as a geometric properly exhibited as curvature on spacetime. Teleparallelism describes gravity through torsional properties, and can reproduce GR at the…

### Teleparallel gravity and its modifications

- Physics, Geology
- 2017

The teleparallel equivalent of general relativity is an intriguing alternative formulation of general relativity. In this thesis, we examine theories of teleparallel gravity in detail, and explore…

## References

SHOWING 1-10 OF 691 REFERENCES

### f(T,𝒯) gravity and cosmology

- Physics
- 2014

We present an extension of f(T) gravity, allowing for a general coupling of the torsion scalar T with the trace of the matter energy-momentum tensor 𝒯. The resulting f(T,𝒯) theory is a new modified…

### Dynamical behavior in f (T, TG) cosmology

- Physics
- 2014

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 TG, which is the teleparallel equivalent of the…

### Problems with propagation and time evolution in f ( T ) gravity

- Physics
- 2013

Teleparallel theories of gravity have a long history. They include a special case referred to as the Teleparallel Equivalent of General Relativity (TEGR, aka GR$_{\|}$). Recently this theory has been…

### Cosmological perturbations in f(T) gravity

- Physics
- 2011

We investigate the cosmological perturbations in f(T) gravity. Examining the pure gravitational perturbations in the scalar sector using a diagonal vierbein, we extract the corresponding dispersion…

### Can f(T) gravity theories mimic ΛCDM cosmic history

- Physics
- 2013

Recently the teleparallel Lagrangian density described by the torsion scalar T has been extended to a function of T. The f(T) modified teleparallel gravity has been proposed as the natural…

### Dark Energy in F(R,T) Gravity

- Physics
- 2012

Since the discovery of cosmic acceleration, modified gravity theories play an important role in the modern cosmology. In particular, the well-known F(R)-theories reached great popularity motivated by…

### The covariant formulation of f(T) gravity

- Physics
- 2015

We show that the well-known problem of frame dependence and violation of local Lorentz invariance in the usual formulation of f(T) gravity is a consequence of neglecting the role of spin connection.…

### Cosmological reconstruction of f(T, 𝒯) gravity

- Physics
- 2014

Motivated by the newly proposal for gravity as the effect of the torsion scalar T and trace of the energy momentum tensor 𝒯, we investigate the cosmological reconstruction of different models of the…

### Energy conditions bounds on f(T) gravity

- Physics
- 2012

In the standard approach to cosmological modeling in the framework of general relativity, the energy conditions play an important role in the understanding of several properties of the Universe,…

### f(R,T) Cosmological Models in Phase Space

- Physics
- 2013

We investigate cosmological solutions of f(R,T) modified theories of gravity for perfect fluid in spatially FLRW metric through phase space analysis, where R is Ricci scalar and T denotes the trace…