Einstein-Cartan Theory

Abstract

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 modification was put forward in 1922 by Elie Cartan, before the discovery of spin. Cartan was influenced by the work of the Cosserat brothers (1909), who considered besides an (asymmetric) force stress tensor also a moments stress tensor in a suitably generalized continuous medium.

7 pages, uses amsmath.sty, amssymb.sty

References in corpus (2)

• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• Einstein-Cartan theory as a theory of defects in space-time

Cited by in corpus (28)

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• The Energy-Momentum Tensor(s) in Classical Gauge Theories
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• Extended Einstein-Cartan theory a la Diakonov: the field equations
• Perturbative quantum gravity with the Immirzi parameter
• Dynamic wormhole solutions in Einstein-Cartan gravity
• Generalized plane waves in Poincaré gauge theory of gravity
• The Perfect Hyperfluid of Metric-Affine Gravity: The Foundation
• Origin of the quantum group symmetry in 3d quantum gravity
• Noether Current, Black Hole Entropy and Spacetime Torsion
• Universal Gibbons-Hawking-York term for theories with curvature, torsion and non-metricity
• Gauge Theory of Gravity and Spacetime
• The cosmological principle in theories with torsion: The case of Einstein-Cartan-Dirac-Maxwell gravity
• A Closer Study of the Framed Standard Model Yielding Testable New Physics plus a Hidden Sector with Dark Matter Candidates
• On Freud's superpotential in General Relativity and in Einstein-Cartan theory
• How the quantum emerges from gravity
• Deviation equation in Riemann-Cartan spacetime
• Deformed BF theory as a theory of gravity and supergravity
• On a Completely Antisymmetric Cartan Torsion Tensor
• Gravity, Cartan geometry, and idealized waywisers
• The unexpected resurgence of Weyl geometry in late 20-th century physics
• An introduction to the physics of Cartan gravity
• Symmetries in Riemann-Cartan Geometries
• Modified Einstein-Gauss-Bonnet gravity: Riemann-Cartan and Pseudo-Riemannian cases
• The Einstein-Hilbert type action on metric-affine almost-product manifolds
• Bosonic (p - 1)-forms in Einstein-Cartan theory of gravity
• A review of Einstein Cartan Theory to describe superstrings with intrinsic torsion
• Field Equations and Radial Solution in a Noncommutative Spherically Symmetric Geometry