Second order formalism in Poincare gauge theory

Details Second order formalism in Poincare gauge theory Second order formalism in Poincare gauge theory

2005-06-14

arxiv.org/abs/gr-qc/0506080v2

Int.J.Mod.Phys.D16:655-680,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

final version, to appear in IJMPD

Scientific paper

10.1142/S0218271807009413

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.

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