Second order formalism in Poincare gauge theory

Abstract

Changing the set of independent variables of Poincare gauge theory and considering, in a manner similar to the second order formalism of general relativity, the Riemannian part of the Lorentz connection as function of the tetrad field, we construct theories that do not contain second or higher order derivatives in the field variables, possess a full general relativity limit in the absence of spinning matter fields, and allow for propagating torsion fields in the general case. A concrete model is discussed and the field equations are reduced by means of a Yasskin type ansatz to a conventional Einstein-Proca system. Approximate solutions describing the exterior of a spin polarized neutron star are prsented and the possibility of an experimental detection of the torsion fields is briefly discussed.

final version, to appear in IJMPD

References in corpus (2)

• On the teleparallel limit of Poincare gauge theory
• Mathisson-Papapetrou equations in metric and gauge theories of gravity in a Lagrangian formulation

Cited by in corpus (5)

• The Canonical Structure of the First Order Einstein-Hilbert Action
• Exploring Cartan gravity with dynamical symmetry breaking
• A new asymptotical flat and spherically symmetric solution in the generalized Einstein-Cartan-Kibble-Sciama gravity and gravitational lensing
• Translational invariance of the Einstein-Cartan action in any dimension
• Darboux coordinates for the Hamiltonian of first order Einstein-Cartan gravity