How does one measure torsion of space-time?

Hehl, Friedrich W.

doi:10.1016/0375-9601(71)90433-6

Cited by 131 publications

(105 citation statements)

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“…In vacuum, where torsion vanishes, this theory reduces to GR. The ECSK gravity therefore passes all observational and experimental tests of GR [3]. In the ECSK theory, the Dirac Lagrangian density for a free spinor ψ with mass m, minimally coupled to the gravitational field, is given by…”

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confidence: 88%

“…is the correction to the energy-momentum tensor generated by torsion and quadratic in the spin tensor [3]. The spin tensor also appears in T ik because L m depends on torsion.…”

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confidence: 99%

“…where g is the determinant of the metric tensor and γ i are the Dirac matrices obeying γ (i γ k) = g ik I. Semicolon denotes a covariant derivative with respect to the affine connection [2,3]:…”

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confidence: 99%

“…Varying L m with respect to the spinor adjoint conjugateψ gives the Dirac equation iγ k ψ ;k = mψ, which can be written as iγ k ψ :k = mψ − 3 8 κ(ψγ k γ 5 ψ)γ k γ 5 ψ and whose conjugate is −iψ :k γ k = mψ − 3 8 κ(ψγ k γ 5 ψ)ψγ k γ 5 [3,5]. Putting this equation in the energy-momentum tensor corresponding to the Dirac Lagrangian,…”

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Nonsingular, big-bounce cosmology from spinor-torsion coupling

2012

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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 between the torsion tensor and Dirac spinors generates a spin-spin interaction which is significant in fermionic matter at extremely high densities. We show that such an interaction averts the unphysical big-bang singularity, replacing it with a cusp-like bounce at a finite minimum scale factor, before which the Universe was contracting. This scenario also explains why the present Universe at largest scales appears spatially flat, homogeneous and isotropic.

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confidence: 88%

“…is the correction to the energy-momentum tensor generated by torsion and quadratic in the spin tensor [3]. The spin tensor also appears in T ik because L m depends on torsion.…”

mentioning

confidence: 99%

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confidence: 99%

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Nonsingular, big-bounce cosmology from spinor-torsion coupling

2012

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“…From the point of view of particle dynamics the simplest situation in which the torsion comes into the play is the motion of spinning particles. The motion of these particles is governed by the equations first obtained in [12,13]. Other derivations of the equations of motion of spinning particles may be found in [14,15,16,17,18,19,20].…”

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Torsion-induced spin precession

Mohseni

2008

Eur. Phys. J. C

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We investigate the motion of a spinning test particle in a spatially-flat FRW-type space-time in the framework of the Einstein-Cartan theory. The space-time has a torsion arising from a spinning fluid filling the space-time. We show that for spinning particles with nonzero transverse spin components, the torsion induces a precession of particle spin around the direction of the fluid spin. We also show that a charged spinning particle moving in a torsion-less spatially-flat FRW space-time in the presence of a uniform magnetic field undergoes a precession of a different character.

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Generalized Equations of Motion. I. The Equivalence Principle and Non‐RIEMANNian Space‐Times

Liebscher

1973

Annalen der Physik

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It is shown that no generalization of the affinity introduced in the DIFCAC equation may change the geodesic motion of pole articles. One cannot deduce the lemma of RICCI or absence of torsion by the mere fact t l a t this yields in the case of the affinity t o be used in the dynamical equation. InhaltsiibersichtEs wird gezeigt, daS keine Verallgemeinerung der in der Dmac-Gleichung benutzten Spinoraffinitiit die geodiitische Bewegung der Polteilchen abiindert. Folglich kann die Gultigkeit des Lemmas von RICCI oder die Torsionsfreiheit der Affinitiit nicht daraus geschlossen werden, daS bei der Ubertragung des Impulsvektors eines Polteilchens beides beobachtet wird.

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How does one measure torsion of space-time?

Cited by 131 publications

References 1 publication

Nonsingular, big-bounce cosmology from spinor-torsion coupling

Nonsingular, big-bounce cosmology from spinor-torsion coupling

Torsion-induced spin precession

Generalized Equations of Motion. I. The Equivalence Principle and Non‐RIEMANNian Space‐Times

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