In Einstein–Cartan theory, the torsion is now a variable in the principle of stationary action that is coupled to a curved spacetime formulation of spin (the spin tensor). These extra equations …

2007年11月9日 · 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. …

The torsion tensor (sometimes called the Cartan (torsion) tensor) of ∇ is the vector-valued 2-form defined on vector fields X and Y by [1] (,):= [,] where [X, Y] is the Lie bracket of two vector …

2006年6月14日 · 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 …

使 G ab 非对称的一种最简单的方案， 就是引进非零的时空挠率 (torsion) t abc =Γ abc -Γ acb。 由此产生的最简单的理论就是所谓的 Einstein-Cartan 理论， 是法国数学家嘉当 (Élie Cartan) 于 …

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 …

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. Cartan’s …

The Einstein–Cartan Theory (ECT) of grav-ity is a modification of General Relativity The-ory (GRT), allowing space-time to have torsion, in addition to curvature, and relating torsion to the …

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...

1 天前 · We focus on the simplest generalization of GR including torsion, the Einstein– Cartan theory. We consider the cases of constant torsion and of torsion linearly depending on time, …