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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 predicts parity violations in the…

General Relativity and Quantum Cosmology · Physics 2023-05-17 Mingzhe Li , Haomin Rao

Topologically non-trivial vacuum structure in gravity models with Cartan variables (vielbein and contortion) is considered. We study the possibility of vacuum space-time tunneling in Einstein gravity assuming that the vielbein may play a…

High Energy Physics - Theory · Physics 2011-07-05 Y. M. Cho , D. G. Pak

In this work a tetrad theory of gravity, invariant under conformal transformations, is investigated. The action of the theory is similar to the action of Maxwell's electromagnetism. The role of the electromagnetic gauge potential is played…

General Relativity and Quantum Cosmology · Physics 2012-06-28 J. W. Maluf , F. F. Faria

The duality between a higher curvature $f(R)$ gravity model and a scalar-tensor theory helps to bring out the role of the additional degree of freedom originating from the higher derivative terms in the gravity action. Such a degree of…

General Relativity and Quantum Cosmology · Physics 2024-06-21 Hitender Kumar , Tanmoy Paul , Soumitra SenGupta

The presence of additional compact dimensions in cosmological models is studied in the context of modified teleparallel theories of gravity. We focus the analysis on eleven dimensional spacetimes, where the seven dimensional extra…

General Relativity and Quantum Cosmology · Physics 2019-10-09 Christian G. Bohmer , Franco Fiorini , P. A. González , Yerko Vásquez

Teleparallel gravity is a modified theory of gravity for which the Ricci scalar $R$ of the underlying geometry in the action is replaced by an arbitrary functional form of torsion scalar $T$. In doing so, cosmology in $% f(T)$ gravity…

General Physics · Physics 2022-07-20 Sanjay Mandal , Snehasish Bhattacharjee , S. K. J. Pacif , P. K. Sahoo

We review the application of torsion in field theory. First we show how the notion of torsion emerges in differential geometry. In the context of a Cartan circuit, torsion is related to translations similar as curvature to rotations.…

General Relativity and Quantum Cosmology · Physics 2007-11-12 Friedrich W. Hehl , Yuri N. Obukhov

An exact solution of Einstein-Cartan-Maxwell (ECM) field equations representing a charged domain wall given by the jump on the electric charge and spin density across the wall is obtained from the Riemannian theory of distributions. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

A quantum cosmology in teleparallel gravity is presented in this article. Teleparallel gravity is used to perform such an analysis once in General Relativity (GR) the concept of gravitational energy is misleading preventing the…

General Relativity and Quantum Cosmology · Physics 2018-02-23 A. S. Fernandes , S. C. Ulhoa , R. G. G. Amorim

Non-Riemannian geometry of acoustic non-relativistic turbulent flows is irrotationally perturbed generating a acoustic geometry model with acoustic metric and acoustic Cartan contortion. The contortion term is due to nonlinearities in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

We explore the geometrical meaning of teleparallel geometries and the role of covariance in their definition. We argue that pure gauge connections are a necessary ingredient for describing geometry and gravity in terms of torsion and…

General Relativity and Quantum Cosmology · Physics 2024-01-17 Martin Krššák

In this paper, we investigate the cosmological dynamics of teleparallel dark energy in the presence of nonzero spatial geometry. Extending previous analyses of nonminimal scalar-tensor theories in the torsion-based framework, we consider…

General Relativity and Quantum Cosmology · Physics 2025-05-28 Rocco D'Agostino , Francesco Bajardi

Einstein-Cartan theory is an extension of the standard formulation of General Relativity where torsion (the antisymmetric part of the affine connection) is non-vanishing. Just as the space-time metric is sourced by the stress-energy tensor…

General Relativity and Quantum Cosmology · Physics 2019-12-30 Francisco Cabral , Francisco S. N. Lobo , Diego Rubiera-Garcia

Local and global gravitational effects induced by eternal vacuum domain walls are studied. We concentrate on thin walls between non-equal and non-positive cosmological constants on each side of the wall. These vacuum domain walls fall in…

General Relativity and Quantum Cosmology · Physics 2009-09-17 Mirjam Cvetič , Stephen Griffies , Harald H. Soleng

Due to its underlying gauge structure, teleparallel gravity achieves a separation between inertial and gravitational effects. It can, in consequence, describe the isolated gravitational interaction without resorting to the equivalence…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. Aldrovandi , L. C. T. Guillen , J. G. Pereira , K. H. Vu

Teleparallel geometry offers a platform on which to build up theories of gravity where torsion rather than curvature mediates gravitational interaction. The teleparallel analogue of Horndeski gravity is an approach to teleparallel geometry…

General Relativity and Quantum Cosmology · Physics 2023-04-03 Salvatore Capozziello , Maria Caruana , Jackson Levi Said , Joseph Sultana

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

We consider quantum gravity model with the squared curvature action. We construct lattice discretization of the model (both on hypercubic and simplicial lattices) starting from its teleparallel equivalent. The resulting lattice models have…

High Energy Physics - Lattice · Physics 2009-11-10 M. A. Zubkov

Scalar-tensor theories have shown promise in many sectors of cosmology. However, recent constraints from the speed of gravitational waves have put severe limits on the breadth of models such classes of theories can realize. In this work, we…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Fabiano F. Santos , Jackson Levi Said

In the Newtonian limit of general relativity force acting on a test mass in a central gravitational field is conventionally defined by the attractive Newtonian gravity (inverse square) term plus a small repulsive cosmological force, which…

General Relativity and Quantum Cosmology · Physics 2020-05-25 Igor I. Smolyaninov