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We study the structure of scalar-tensor theories of gravity based on derivative couplings between the scalar and the matter degrees of freedom introduced through an effective metric. Such interactions are classified by their tensor…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Miguel Zumalacárregui , Juan García-Bellido

A role of the scalar-matter direct coupling in the evolution of scalar-tensor gravity was studied. If the coupling functions in the generalized scalar-tensor gravity satisfy a definite equation the scalar-tensor gravity is reduced to…

General Relativity and Quantum Cosmology · Physics 2019-12-25 Kim Jik-su , Kim Chol-jun

A complete geometric unification of gravity and electromagnetism is proposed by considering two aspects of torsion: its relation to spin established in Einstein--Cartan theory and the possible interpretation of the torsion trace as the…

High Energy Physics - Theory · Physics 2007-05-23 Kenichi Horie

A modification of Kaluza-Klein theory is proposed in which, as a result of a symmetry breaking, five-dimensional space-time is partially parallelized implying the appearance of torsion fields. A naturally chosen action functional leads to…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. Kohler

We analyse the Einstein-Cartan gravity in its standard form cal-R = R + cal-K^2, where cal-R and R are the Ricci scalar curvatures in the Einstein-Cartan and Einstein gravity, respectively, and cal-K^2 is the quadratic contribution of…

General Relativity and Quantum Cosmology · Physics 2016-11-04 A. N. Ivanov , M. Wellenzohn

A new Lorentz gauge gravity model with R^2-type Lagrangian is proposed. In the absence of classical torsion the model admits a topological phase with an arbitrary metric. We analyze the equations of motion in constant curvature space-time…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Y. M. Cho , D. G. Pak , B. S. Park

We compare the gauging of the Bargmann algebra, for the case of arbitrary torsion, with the result that one obtains from a null-reduction of General Relativity. Whereas the two procedures lead to the same result for Newton-Cartan geometry…

High Energy Physics - Theory · Physics 2017-11-22 Eric Bergshoeff , Athanasios Chatzistavrakidis , Luca Romano , Jan Rosseel

Einstein-Cartan theory is an extension of the standard formulation of General Relativity characterized by a non-vanishing torsion. The latter is sourced by the matter fields via the spin tensor, and its effects are expected to be important…

General Relativity and Quantum Cosmology · Physics 2020-10-08 Francisco Cabral , Francisco S. N. Lobo , Diego Rubiera-Garcia

We study neutron star configurations in a teleparallel gravity model featuring a scalar field coupled to both matter and torsion. In the Einstein frame, the theory includes a derivative coupling between the scalar field and the torsion…

General Relativity and Quantum Cosmology · Physics 2026-03-25 Youcef Kehal , Khireddine Nouicer

We derive linear scalar perturbation equations for Einstein-Cartan field equations of Weyssenhoff fluid, as well as for the corresponding perturbations of Bianchi identity and geodesic equations. The equations are given in both conformal…

General Physics · Physics 2022-04-22 Davor Palle

The Einstein-Cartan-Kibble-Sciama ({\sf ECKS}) theory of gravity naturally extends Einstein\rq{}s general relativity ({\sf GR}) to include intrinsic angular momentum (spin) of matter. The main feature of this theory consists of an algebraic…

General Relativity and Quantum Cosmology · Physics 2018-06-04 Hamid Shabani , Amir Hadi Ziaie

In this proceeding, we review modified theories of gravity with a curvature-matter coupling between an arbitrary function of the scalar curvature and the Lagrangian density of matter. This explicit nonminimal coupling induces a…

General Relativity and Quantum Cosmology · Physics 2022-09-20 Francisco S. N. Lobo , Tiberiu Harko

In this paper we first show that any coupled system consisting of a gravitational plus a free electromagnetic field can be described geometrically in the sense that both Maxwell equations and Einstein equation having as source term the…

Mathematical Physics · Physics 2011-12-20 J. Fernando T. Giglio , Waldyr A. Rodrigues

In the Einstein-Cartan space $U_4$, an axial vector torsion together with a scalar field connected to a local scale factor have been considered. By combining two particular terms from the SO(4,1) Pontryagin density and then modifying it in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Prasanta Mahato

It is well-known since the works of Utiyama and Kibble that the gravitational force can be obtained by gauging the Poincar\'e group, which puts gravity on the same footing as the Standard Model fields. The resulting theory --…

High Energy Physics - Phenomenology · Physics 2021-10-25 Mikhail Shaposhnikov , Andrey Shkerin , Inar Timiryasov , Sebastian Zell

On the basis of an algebraic relation between torsion and a classical spinor field a new interpretation of Einstein-Cartan gravity interacting with classical spinor field is proposed. In this approach the spinor field becomes an auxiliary…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. Dzhunushaliev , D. Singleton

Recently, gravitational gauge theories with torsion have been discussed by an increasing number of authors from a classical as well as from a quantum field theoretical point of view. The Einstein-Cartan(-Sciama-Kibble) Lagrangian has been…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Peter Baekler , Friedrich W. Hehl

In three spacetime dimensions, pure Einstein gravity admits no local propagating degrees of freedom, yet nontrivial gravitational backgrounds such as the BTZ black hole provide a natural arena to probe dynamical extensions of the theory. In…

General Relativity and Quantum Cosmology · Physics 2026-03-17 C. A. S. Almeida , F. C. E. Lima

The Einstein-Cartan theory of gravitation and the classical theory of defects in an elastic medium are presented and compared. The former is an extension of general relativity and refers to four-dimensional space-time, while we introduce…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Matteo Luca Ruggiero , Angelo Tartaglia

The role of spin-torsion coupling to gravity is analyzed in the context of a model of chaotic inflation. The system of equations constructed from the Einstein-Cartan and inflaton field equations are studied and it is shown that spin-torsion…

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