# Teleparallel Gravity: From Theory to Cosmology

@inproceedings{Bahamonde2021TeleparallelGF, title={Teleparallel Gravity: From Theory to Cosmology}, author={Sebastian Bahamonde and Konstantinos F. Dialektopoulos and Celia Escamilla-Rivera and Gabriel Farrugia and Viktor Gakis and Martin Hendry and Manuel Hohmann and Jackson Levi Said and Jurgen Mifsud and Eleonora Di Valentino}, year={2021} }

Teleparallel gravity has significantly increased in popularity in recent decades, bringing attention to Einstein's other theory of gravity. In this Review, we relate this form of geometry to the broader metric-affine approach to forming gravitational theories where we describe a systematic way of constructing consistent teleparallel theories that respect certain physical conditions such as local Lorentz invariance. We first use teleparallel gravity to formulate a teleparallel equivalent of…

## 27 Citations

Well-tempered Minkowski solutions in teleparallel Horndeski theory

- PhysicsClassical and Quantum Gravity
- 2021

Well-tempering stands among the few classical methods of screening vacuum energy to deliver a late-time, low energy vacuum state. We build on the class of Horndeski models that admit a Minkowski…

Inhomogeneous solutions in $f(T,B)$ gravity

- Physics
- 2022

In this paper we explore the possibility to find exact solutions for Teleparallel Gravity (TG) of the type of spherically symmetric Lemâıtre-Tolman-Bondi (LTB) dust models. We apply to the LTB metric…

Classification of Teleparallel Horndeski Cosmology via Noether Symmetries

- Physics, Mathematics
- 2021

Teleparallel Horndeski theory offers an avenue through which to circumvent the speed constraint of gravitational waves in an efficient manner. However, this provides an even larger plethora of models…

The $3+1$ Formalism in the Geometric Trinity of Gravity

- Physics
- 2021

The geometric trinity of gravity offers a platform in which gravity can be formulated in three analogous approaches, namely curvature, torsion and nonmetricity. In this vein, general relativity can…

A quick guide to spacetime symmetry and symmetric solutions in teleparallel gravity

- Physics
- 2022

The notion of spacetime symmetry is essential to describe gravitating physical systems like planets, stars, black holes, or the universe as a whole, since they possess, at least to good…

Black holes in f(T,B) gravity: exact and perturbed solutions

- PhysicsJournal of Cosmology and Astroparticle Physics
- 2022

Spherically symmetric solutions of theories of gravity built one fundamental class of solutions to describe compact objects like black holes and stars. Moreover, they serve as starting point for the…

Constraints on the Nieh-Yan modified teleparallel gravity with gravitational waves

- PhysicsPhysical Review D
- 2022

Qiang Wu, Tao Zhua,b,∗ Rui Niu, Wen Zhaoc,d,† and Anzhong Wange‡ a Institute for theoretical physics and cosmology, Zhejiang University of Technology, Hangzhou, 310032, China b United Center for…

$f(T,B)$ cosmography for high redshifts

- Physics
- 2021

In light of the statistical performance of cosmological observations, in this work we present the cosmography in f(T,B) gravity. In this scenario we found a cosmological viable standard case that…

Analytical Stellar Models of Neutron Stars in Teleparallel Gravity

- Physics
- 2021

In this paper, we developed three analytical models and obtained a new class of solutions describing compact stellar structures using the theory of teleparallel gravity. We consider the general…

Analytical Stellar Models of Neutron Stars in f (T) Gravity

- 2021

In this paper, we developed three analytical models and obtained a new class of solutions describing compact stellar structures using the theory of f (T) gravity. We consider the general anisotropic…