# Teleparallel gravity

@inproceedings{Hohmann2022TeleparallelG, title={Teleparallel gravity}, author={Manuel Hohmann}, year={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 through its Levi-Civita connection, and medi-ates gravity via the curvature of this connection. While numerous modiﬁed theories of gravity retain these principles, it is also possible to introduce another aﬃne connection as a fundamental ﬁeld, and consider its properties - curvature, torsion…

## 64 Citations

### Cosmology in f(Q) geometry

- Physics
- 2020

The universal character of the gravitational interaction provided by the equivalence principle motivates a geometrical description of gravity. The standard formulation of General Relativity a la…

### 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…

### Variational Principles in Teleparallel Gravity Theories

- Mathematics
- 2021

We study the variational principle and derivation of the field equations for different classes of teleparallel gravity theories, using both their metric-affine and covariant tetrad formulations.…

### Symmetric teleparallel geometries

- PhysicsClassical and Quantum Gravity
- 2022

In teleparallel gravity and, in particular, in F(T) teleparallel gravity, there is a challenge in determining an appropriate (co-)frame and its corresponding spin connection to describe the geometry.…

### Irregular universe in the Nieh-Yan modified teleparallel gravity

- Physics
- 2023

The Nieh-Yan modiﬁed teleparallel gravity is a model which modiﬁes the general relativity equivalent teleparallel gravity by a coupling between the Nieh-Yan density and an axion-like ﬁeld. This model…

### Non-minimal geometry–matter couplings in Weyl–Cartan space–times: f(R,T,Q,Tm) gravity

- PhysicsPhysics of the Dark Universe
- 2021

### Dynamical complexity of the teleparallel gravity cosmology

- Computer Science
- 2021

This paper considers a generalisation of the dynamical system by imposing a non-constant degree of freedom over it which allows to rewrite a generic autonomous dynamical analysis.

### Connection independent formulation of general relativity

- PhysicsPhysical Review D
- 2020

A connection-independent formulation of general relativity is presented, in which the dynamics does not depend on the choice of connection. The gravity action in this formulation includes one…

### First-order hyperbolic formulation of the pure tetrad teleparallel gravity theory

- Physics
- 2022

Motivated by numerically solving the Einstein ﬁeld equations, we derive a ﬁrst-order reduction of the second-order f ( T ) -teleparallel gravity ﬁeld equations in the pure-tetrad formulation (no spin…

### Gravitational wave birefringence in spatially curved teleparallel cosmology

- PhysicsPhysics Letters B
- 2022

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