Propagating torsion from first principles

Abstract

A propagating torsion model is derived from the requirement of compatibility between minimal action principle and minimal coupling procedure in Riemann-Cartan spacetimes. In the proposed model, the trace of the torsion tensor is derived from a scalar potential that determines the volume element of the spacetime. The equations of the model are written down for the vacuum and for various types of matter fields. Some of their properties are discussed. In particular, we show that gauge fields can interact minimally with the torsion without the breaking of gauge symmetry.

Revtex, 19 pages

References in corpus (3)

• New no-scalar-hair theorem for black-holes
• A geometrical action for dilaton gravity
• Gauge fields on Riemann-Cartan space-times

Cited by in corpus (24)

• Riemannian and Teleparallel Descriptions of the Scalar Field Gravitational Interaction
• Minimal coupling in presence of non-metricity and torsion
• Dynamical system analysis of dark energy models in scalar coupled metric-torsion theories
• Neutron star in presence of torsion-dilaton field
• Einstein-Cartan gravity with Holst term and fermions
• Trapped surfaces and nature of singularities in Lyra's geometry
• Constraining Torsion in Maximally symmetric (sub)spaces
• Local electromagnetic duality and gauge invariance
• Volume elements and torsion
• Auto-parallel equation as Euler-Lagrange's equation in spaces with affine connections and metrics
• Frames of reference in spaces with affine connections and metrics
• Spontaneous Generation of Torsion Coupling of Electroweak Massive Gauge Bosons
• Sources of torsion in Poincare gauge theory
• Spinless Matter in Transposed-Equi-Affine Theory of Gravity
• Solar System Experiments and the Interpretation of Saa's Model of Gravity with Propagating Torsion as a Theory with Variable Plank "Constant"
• Nonuniqueness of gravity-induced fermion interaction in the Einstein-Cartan theory
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
• Cosmological Dark sector from a Mimetic-Metric-Torsion perspective
• Teleparallel Geometry with Spherical Symmetry: The diagonal and proper frames
• Propagating torsion in the Einstein frame
• On the choice of coupling procedure for the Poincaré gauge theory of gravity
• Modified coupling procedure for the Poincaré gauge theory of gravity
• Maxwell field with Torsion
• Internal symmetry in Poincare gauge gravity