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We revisit Coincident General Relativity (CGR) in the gauge approach to gravity based on Symmetric Teleparallel Equivalent to General Relativity (STEGR) in the {\it internal-space formulation}, which one of the authors recently proposed in…

General Relativity and Quantum Cosmology · Physics 2025-09-22 Kyosuke Tomonari , Taishi Katsuragawa , Shin'ichi Nojiri

Horndeski gravity is the most general scalar tensor theory, with a single scalar field, leading to second order field equations and after the GW170817 it has been severely constrained. In this paper, we study the analogue of Horndeski's…

General Relativity and Quantum Cosmology · Physics 2019-09-12 Sebastian Bahamonde , Konstantinos F. Dialektopoulos , Jackson Levi Said

Gauge symmetries in teleparallel gravity, together with the identities among the dynamical equations they provide, are analyzed in relation to the way they condition the coupling between matter and gravity. Particularly, the coupling of…

General Relativity and Quantum Cosmology · Physics 2023-01-02 Rafael Ferraro

We find the set of generalized symmetries associated with the free graviton theory in four dimensions. These are generated by gauge invariant topological operators that violate Haag duality in ring-like regions. As expected from general QFT…

High Energy Physics - Theory · Physics 2022-05-25 Valentin Benedetti , Horacio Casini , Javier M. Magan

We discuss a class of teleparallel scalar-torsion theories of gravity, which is parametrized by five free functions of the scalar field. The theories are formulated covariantly using a flat, but non-vanishing spin connection. We show how…

General Relativity and Quantum Cosmology · Physics 2018-09-12 Manuel Hohmann

By using a nonholonomous-frame formulation of the general covariance principle, seen as an active version of the strong equivalence principle, an analysis of the gravitational coupling prescription in the presence of curvature and torsion…

General Relativity and Quantum Cosmology · Physics 2009-11-10 H. I. Arcos , J. G. Pereira

The transformation properties of the gravitational energy-momentum in the teleparallel gravity are analyzed. It is proved that the gravitational energy-momentum in the teleparallel gravity can be expressed in terms of the Lorentz gauge…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Y. Chee , Ye Zhang , Yongxin Guo

The main scope of this research consists in evaluating the energy-momentum (gravitational field plus matter) and gravitational angular momentum densities in the universe with global rotation, considering the Godel-Obukhov metric. For this,…

General Relativity and Quantum Cosmology · Physics 2010-03-19 A. A. Sousa , R. B. Pereira , A. C. Silva

We consider the variational principle in the covariant formulation of modified teleparallel theories with second order field equations. We vary the action with respect to the spin connection and obtain a consistency condition relating the…

General Relativity and Quantum Cosmology · Physics 2017-08-15 Martin Krssak

This thesis investigates the characteristics of modified teleparallel gravity models that incorporate a scalar field and a trace of the energy-momentum tensor, with particular attention to their cosmological effects, especially regarding…

General Relativity and Quantum Cosmology · Physics 2025-10-06 L K Duchaniya

In many gauge theories, the existence of particles in every representation of the gauge group (also known as completeness of the spectrum) is equivalent to the absence of one-form global symmetries. However, this relation does not hold, for…

High Energy Physics - Theory · Physics 2021-04-20 Tom Rudelius , Shu-Heng Shao

In this work we use the theory of Teleparallelism Equivalent to General Relativity based in non-commutative space-time coordinates. In this context, we write the corrections of the Schwarzschild solution. As a important result, we find the…

General Relativity and Quantum Cosmology · Physics 2013-12-06 S. C. Ulhoa , R. G. G. Amorim

We establish the theories of Symmetric Teleparallel Equivalent to General Relativity (STEGR) in the internal-space and investigate possible internal-space symmetries among primary constraint densities in the theories. First of all, we…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Kyosuke Tomonari

We construct a notion of teleparallelization for Newton-Cartan theory, and show that the teleparallel equivalent of this theory is Newtonian gravity; furthermore, we show that this result is consistent with teleparallelization in general…

General Relativity and Quantum Cosmology · Physics 2018-08-29 James Read , Nicholas Teh

In the framework of teleparallel equivalent of general relativity, we study a gravity theory where a scalar field beyond its minimal coupling, is also coupled with the vector torsion through a non-minimal derivative coupling. After a…

General Relativity and Quantum Cosmology · Physics 2016-12-14 Behnaz Fazlpour

Spaniol and Andrade introduced grvitoelectromagnetism in TEGR by considering superpotentials, times the determinant of tetrads, as the gravitoelectromagnetic fields. However, since this defined gravitoelectromagnetic field strength does not…

General Relativity and Quantum Cosmology · Physics 2017-12-13 Kian Ming , Triyanta , J. S. Kosasih

We investigate compact objects in modified teleparallel gravity with realistic equations of state. We propose a modification of Teleparallel Equivalent to General Relativity, then an appropriate tetrad is applied to the field equations. A…

General Relativity and Quantum Cosmology · Physics 2023-04-26 S. G. Vilhena , S. B. Duarte , M. Dutra , P. J. Pompeia

An exact solution has an axial symmetry is obtained in the teleparallel theory of gravitation. The associated metric has the structure function G(xi)=1-xi^2-2mA(xi)^3. The cubic nature of the structure function can make calculations…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gamal G. L. Nashed

In this paper, we construct a field theory unifying gravity and electromagnetism in the context of Extended Absolute Parallelism (EAP-) geometry. This geometry combines, within its structure, the geometric richness of the tangent bundle and…

General Relativity and Quantum Cosmology · Physics 2010-02-15 M. I. Wanas , Nabil L. Youssef , A. M. Sid-Ahmed

The field equations of a special class of teleparallel theory of gravitation and electromagnetic fields have been applied to tetrad space having cylindrical symmetry with four unknown functions of radial coordinate $r$ and azimuth angle…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gamal G. L. Nashed