Teleparallel Spin Connection

Abstract

A new expression for the spin connection of teleparallel gravity is proposed, given by minus the contorsion tensor plus a zero connection. The corresponding minimal coupling is covariant under local Lorentz transformation, and equivalent to the minimal coupling prescription of general relativity. With this coupling prescription, therefore, teleparallel gravity turns out to be fully equivalent to general relativity, even in the presence of spinor fields.

2 pages, RevTeX, to appear in Phys. Rev D (Brief Report)

Cited by in corpus (38)

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• Reissner-Nordström Spacetime in the Tetrad Theory of Gravitation
• Lessons of spin and torsion: Reply to ``Consistent coupling to Dirac fields in teleparallelism"
• Brane World black holes in Teleparallel Theory Equivalent to General Relativity and their Killing vectors, Energy, Momentum and Angular-Momentum
• Coupling Metric-Affine Gravity to a Higgs-Like Scalar Field
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• Dirac spinor fields in the teleparallel gravity: comment on "Metric-affine approach to teleparallel gravity"
• Gravitation without the equivalence principle
• Teleparallel Versions of Friedmann and Lewis-Papapetrou Spacetimes
• Coupling Metric-Affine Gravity to the Standard Model and Dark Matter Fermions
• Fermion localization in braneworld teleparallel f(T,B) gravity
• Teleparallel origin of the Fierz picture for spin-2 particle
• Some Remarks on the Coupling Prescription of Teleparallel Gravity
• Torsion and Gravitation: A new view
• Gravitation: Global Formulation and Quantum Effects
• Dirac field as a source of the inflation in 2+1 dimensional Teleparallel gravity
• The Teleparallel Lagrangian and Hamilton-Jacobi Formalism
• Non-minimal coupling of fermion to the torsion in the modified teleparallel braneworld
• Torsion and the Gravitational Interaction
• Consistent Gravitationally-Coupled Spin-2 Field Theory
• Hestenes' Tetrad and Spin Connections
• Energy and angular momentum of general 4-dimensional stationary axi-symmetric spacetime in teleparallel geometry
• Global properties of physically interesting Lorentzian spacetimes
• Gravitation as Anholonomy
• Deformed Weitzenböck Connections and Double Field Theory
• Gauge invariance in teleparallel gravity theories: A solution to the background structure problem
• Conservation Laws on Riemann-Cartan, Lorentzian and Teleparallel Spacetimes
• Teleparallel Minkowski Spacetime with Perturbative Approach for Teleparallel Gravity on a Proper Frame
• Einsteinian Strengths and Dynamical Degrees of Freedom for Alternative Gravity Theories
• Geometric Origin of Physical Constants in a Kaluza-Klein Tetrad Model
• Is torsion needed in a theory of gravity? A reappraisal
• Über die Beziehung der begrifflichen Grundlagen der Quantentheorie und der Allgemeinen Relativitätstheorie
• Flat spin connections in the Teleparallel equivalent of General Relativity
• From Special Relativity to embedded generators in Cartan subalgebras of rank-4 spin algebras
• Gravitational radiation fields in teleparallel equivalent of general relativity and their energies