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Related papers: The Einstein-Cartan-Elko system

200 papers

Motivated by a special consideration in quantum measurement, we present a new improved energy-momentum tensor. The new tensor differs from the traditional canonical and symmetric ones, and can be derived as Nother current from a Lagrangian…

General Relativity and Quantum Cosmology · Physics 2019-03-06 Tao Lei , Zi-Wei Chen , Zhen-Lai Wang , Xiang-Song Chen*

In the present paper we consider a theory of gravity in which not only curvature but also torsion is explicitly present in the Lagrangian, both with their own coupling constant. In particular, we discuss the couplings to Dirac fields and…

General Relativity and Quantum Cosmology · Physics 2012-12-06 Luca Fabbri , Stefano Vignolo , Cosimo Stornaiolo

This article studies the effects of an arbitrary dark matter spin tensor on the propagation of gravitational wave amplitude in the context of Einstein-Cartan theory. We choose to work with an arbitrary spin tensor because, given our…

General Relativity and Quantum Cosmology · Physics 2023-02-21 E. Elizalde , F. Izaurieta , C. Riveros , G. Salgado , O. Valdivia

We study gravity coupled to scalar and fermion fields in the Einstein-Cartan framework. We discuss the most general form of the action that contains terms of mass dimension not bigger than four, leaving out only contributions quadratic in…

High Energy Physics - Theory · Physics 2021-08-17 Mikhail Shaposhnikov , Andrey Shkerin , Inar Timiryasov , Sebastian Zell

Diakonov formulated a model of a primordial Dirac spinor field interacting gravitationally within the geometric framework of the Poincar\'e gauge theory (PGT). Thus, the gravitational field variables are the orthonormal coframe (tetrad) and…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Yuri N. Obukhov , Friedrich W. Hehl

We introduce bosonic (p - 1)-form fields that couple to the spin connection of the Einstein-Cartan theory of gravity thus becoming a non-trivial source of space-time torsion. We analyze all the general features of both the matter and the…

High Energy Physics - Theory · Physics 2015-02-05 Jorge Alfaro , Simon Riquelme

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

In this paper we investigate the gravitational-wave generation problem at the first post-Newtonian order in the context of Einstein-Cartan theory by exploiting the Blanchet-Damour formalism. The quantum intrinsic spin carried by slowly…

General Relativity and Quantum Cosmology · Physics 2021-10-28 Emmanuele Battista , Vittorio De Falco

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

An integrated approach to Lie derivatives of spinors, spinor connections and the gravitational field is presented, in the context of a previously proposed, partly original formulation of a theory of Einstein-Carta-Maxwell-Dirac fields based…

General Relativity and Quantum Cosmology · Physics 2016-09-29 Daniel Canarutto

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

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

The Einstein-Cartan-Sciama-Kibble theory of gravity removes the constraint of general relativity that the affine connection be symmetric by regarding its antisymmetric part, the torsion tensor, as a dynamical variable. The minimal coupling…

General Relativity and Quantum Cosmology · Physics 2012-07-06 Nikodem Poplawski

The generic form of spacetime dynamics as a classical gauge field theory has recently been derived, based on only the action principle and on the Principle of General Relativity. It was thus shown that Einstein's General Relativity is the…

General Relativity and Quantum Cosmology · Physics 2019-05-28 J. Struckmeier , J. Muench , P. Liebrich , M. Hanauske , J. Kirsch , D. Vasak , L. Satarov , H. Stoecker

In this work a static solution of Einstein-Cartan (EC) equations in 2+1 dimensional space-time is given by considering classical spin-1/2 field as external source for torsion of the space-time. Here, the torsion tensor is obtained from…

General Relativity and Quantum Cosmology · Physics 2008-07-29 M. Hortacsu , H. T. Ozcelik , N. Ozdemir

We study a complex Dirac field in the chiral representation minimally coupled to gravity in 3+1 dimensions in the context of Einstein-Cartan theory. Generically the matter content gravitates in two different ways: On the one hand, the…

General Relativity and Quantum Cosmology · Physics 2015-03-12 Adolfo Toloza

The dynamics of the torsion field is analyzed in the framework of the Covariant Canonical Gauge Theory of Gravity (CCGG), a De~Donder-Weyl Hamiltonian formulation of gauge gravity. The action is quadratic in both, the torsion and the…

General Relativity and Quantum Cosmology · Physics 2024-05-29 Vladimir Denk , David Vasak , Johannes Kirsch

An example is given of a plane topological defect solution of linearized Einstein-Cartan (EC) field equation representing a cosmic wall boundary of spinning matter. The source of Cartan torsion is composed of two orthogonal lines of static…

High Energy Physics - Theory · Physics 2009-10-31 L. C. Garcia de Andrade

The conservation law for the orbital plus spin angular momentum of a free Dirac particle in curved spacetime requires that the affine connection has the antisymmetric part: the torsion tensor, which extends general relativity to the…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Nikodem Popławski

In this paper, the recently-introduced ELKO and the well-known Dirac spinor fields will be compared; however, instead of comparing them under the point of view of their algebraic properties or their dynamical features, we will proceed by…

General Relativity and Quantum Cosmology · Physics 2014-09-12 Luca Fabbri , Stefano Vignolo