Einstein–Cartan Theory

In theoretical physics, the Einstein–Cartan theory, also known as the Einstein–Cartan–Sciama–Kibble theory, is a classical theory of gravitation similar to general relativity. The theory was first proposed by Élie Cartan in 1922[1] and expounded in the following few years.

The Einstein--Cartan Theory (ECT) of gravity is a modification of General Relativity Theory (GRT), allowing space-time to have torsion, in addition to curvature, and relating torsion to the density of intrinsic angular momentum.

This work presents a derivation of Einstein–Cartan theory (EC) from general relativity (GR) at two levels. Part 1 derives translational holonomy around one Kerr mass as an integral version of affine torsion, with no additional assumptions or parameters.

This work presents a derivation of Einstein Cartan theory (EC) from general relativity at two levels. Part 1 derives translational holonomy around one Kerr mass as an integral version of affine torsion, with no additional assumptions or parameters.

This theory has a very interesting flavor, namely it does not assume that the connection on Semi-Riemannian is torsionless.

Standard notation and terminology of differential geometry and general relativity are used in this article.

In Teleparallel Gravity, torsion and curvature are related to the same degrees of freedom. There are theories, however, in which curvature and torsion represent different gravitational degrees of free

(Teoria Einsteina–Cartana: znaczenie i konsekwencje torsji) Paweł Laskoś-Grabowski

Einstein-Cartan theory (c.1922 and 1928) is Einstein's theory of general relativity extended to include fermions and other particles of half-integer spin.

Juliane Behrend - Instituut voor Theoretische Fysica, Universiteit Utrecht, The Netherlands

Hindawi is one of the world’s largest publishers of peer-reviewed, fully Open Access journals. Built on an ethos of openness, we are passionate about working with the global academic community to promote open scholarly research to the world. With the help of our academic Editors, based in institutions around the globe, we are able to focus on serving our authors while preserving robust publishing standards and editorial integrity.

Considers the relation between the general theory of relativity and the Einstein-Cartan theory in the case that matter is described by a Dirac field.

Project Euclid - mathematics and statistics online

At present I am studying QFT and foundations of General Relativity (GR) and Einstein-Cartan (EC) theory. Namely I have just studied the definition of the Belinfante-Rosen...

The field equations of the Einstein–Cartan theory are written down using the spin coefficient formalism developed by Newman and Penrose for the Einstein theory. The irreducible spinor decomposition of the Riemann tensor in a U4 space is obtained.

The complete dynamical system for a classical fluid endowed with non-Abelian charge density is obtained by using variational techniques. Spin density appears in a natural way, as a consequence of a usual gauge construction. Einstein-Cartan, Yang-Mills, and generalized Wong equations are explicitly shown.