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

@article{Caruana2020CosmologicalBS, title={Cosmological bouncing solutions in f(T, B) gravity}, author={Maura Caruana and Gabriel Farrugia and Jackson Levi Said}, journal={The European Physical Journal C}, year={2020}, volume={80} }

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 curvature. Surprisingly, Teleparallel Gravity can be formulated to be equivalent to general relativity for a appropriate setup. Our interest lies in exploring an extension of this theory in which the Lagrangian takes the form of f(T, B) where T and B are two scalars that characterize the equivalency…

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## References

SHOWING 1-10 OF 166 REFERENCES

### Cosmological bouncing solutions in extended teleparallel gravity theories

- Physics
- 2018

In the context of extended Teleparallel gravity theories with a 3+1 dimensions Gauss-Bonnet analog term, we address the possibility of these theories reproducing several well-known cosmological…

### f(T) teleparallel gravity and cosmology

- PhysicsReports on progress in physics. Physical Society
- 2016

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, and various torsional constructions, from teleparallel, to Einstein-Cartan, and metric-affine gauge theories are reviewed.

### Matter bounce cosmology with the f(T) gravity

- Physics
- 2011

We show that the f(T) gravitational paradigm, in which gravity is described by an arbitrary function of the torsion scalar, can provide a mechanism for realizing bouncing cosmologies, thereby…

### Teleparallel gravity

- Geology
- 2022

In general relativity, the only dynamical ﬁeld describing the gravitational interaction of matter, is the metric. It induces the causal structure of spacetime, governs the motion of physical bodies…

### Bouncing cosmology with future singularity from modified gravity

- Physics, Mathematics
- 2015

We investigate which Jordan frame $F(R)$ gravity can describe a Type IV singular bouncing cosmological evolution, with special emphasis given near the point at which the Type IV singularity occurs.…

### Lorenz Gauge Fixing of $f(T)$ Teleparallel Cosmology

- Physics
- 2017

In teleparallel gravity, we apply Lorenz type gauge fixing to cope with redundant degrees of freedom in the vierbein field. This condition is mainly to restore the Lorentz symmetry of the…

### 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…

### Matter Bounce Loop Quantum Cosmology from F(R) Gravity

- Physics
- 2014

Using the reconstruction method, we investigate which F(R) theories, with or without the presence of matter fluids, can produce the matter bounce scenario of holonomy corrected Loop Quantum…

### Energy constraints and the phenomenon of cosmic evolution in the f(T,B) framework

- PhysicsThe European Physical Journal Plus
- 2018

Abstract.In this paper, we investigate the cosmological evolution in a new modified teleparallel gravity that connects both f(T) and f(R) theories with a boundary term B, called f(T,B) gravity. To…

### 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…