Poincaré gauge theory with even and odd parity dynamic connection modes: isotropic Bianchi cosmological models

Abstract

The Poincaré gauge theory of gravity has a metric compatible connection with independent dynamics that is reflected in the torsion and curvature. The theory allows two good propagating spin-0 modes. Dynamical investigations using a simple expanding cosmological model found that the oscillation of the 0${}^{+}$ mode could account for an accelerating expansion similar to that presently observed. The model has been extended to include a $0^{-}$ mode and more recently cross parity couplings. We investigate the dynamics of this model in a situation which is simple, non-trivial, and yet may give physically interesting results that might be observable. We consider homogeneous cosmologies, more specifically, isotropic Bianchi class A models. We find an effective Lagrangian for our dynamical system, a system of first order equations, and present some typical dynamical evolution.

8 pages, 1 figures, submitted to IARD 2010 Conference Proceedings in {\em Journal of Physics: Conference Series}, eds. L. Horwitz and M. Land (2011)

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• Gravitational waves in metric-affine gravity theory
• Torsion Cosmology of Poincaré gauge theory and the constraints of its parameters via SNeIa data
• Scalar-Torsion Mode in a Cosmological Model of the Poincaré Gauge Theory of Gravity