Poincare Gauge Theory Of Gravitation Research Articles

Double duality and hidden gauge freedom in the poincaré gauge theory of gravitation

We investigate the double duality ansatz of the Poincare gauge theory of gravitation. It is shown that many known exact solutions belong, as special cases, to larger families of solutions. These families of solutions include several arbitrary functions and can be generated by a transformation which is a Lorentzian rotation of the connection with fixed tetrad. Several new spherically symmetric and wavelike exact solution are presented.

Experimental bounds on parameters of spin-spin interaction in gauge theory of gravitation

The contribution of the pseudovector component of the torsion for the hyperfine splitting of the hydrogen atom is considered. The calculations are made in the framework of a Poincare gauge theory of gravitation with the most general Lagrangian quadratic in the curvature and torsion and containing a term of Hilbert-Einstein type. Some estimates of the model are obtained.

Irreducible decompositions of nonmetricity, torsion, curvature and Bianchi identities in metric-affine spacetimes

The irreducible components of the curvature under the Lorentz group are of direct physical relevance in the four-dimensional Riemannian geometry of general relativity. The same is true for both curvature and torsion in the four-dimensional Riemann-Cartan geometry of the Poincare gauge theory of gravitation. In the latter theory a knowledge of these irreducible components is also extremely useful when setting up the Lagrangian and searching for exact solutions. The author deals with an n-dimensional metric-affine spacetime of arbitrary signature. In such a spacetime the connection is no longer metric so that there is an additional geometric object-the nonmetricity. The irreducible decompositions of nonmetricity, torsion and curvature under the pseudo-orthogonal group as well as those of the corresponding Bianchi identities are derived. Because of the increasing use made of it in the literature, the exterior form notation is used throughout.

SL(2,C)-gauge theory andN=1 supergravity

It is shown that as Riemannian space may be taken to give rise to a Poincare gauge theory of gravitation, the superspace where the coordinates are given by (X, θ), θ being a spinorial variable gives rise to anSL(2, C)-gauge theory and corresponds toN= 1 supergravity. It leads to a conserved current and the conserved quantity here corresponds to isospin, where the latter is taken to be generated from conformal reflection. Thus, supergravity plays a predominant role in the microlocal space-time.

Expanding Universe solutions for the Yang-Mills-Higgs system coupled to the Poincare gauge theory of gravitation

The authors found expanding Universe solutions for the Yang-Mills-Higgs system when it is coupled to the Poincare gauge theory of gravitation. The Yang-Mills fields are of the Wu-Yang-t' Hooft-Julia-Zee configurations. The torsion components for the spacetime are either constant, increasing, or oscillatory, depending on the nature of metric of the Universe.

Constrained macroscopic limit of the Poincaré gauge theory of gravity

We propose, at the level of Lagrangians and working with constraints, a macroscopic limit of the Poincare gauge theory of gravitation, PGT. Starting from two different Lagrangians, it is possible to obtain teleparallelism theories and Einstein’s General Relativity as macroscopic limits of PGT.

How to fix the gauge in internal and external gauge theories

A recently presented method, that permits one to calculate gauge-fixing conditions from a given gauge-breaking term, is applied to internal as well as external Yang-Mills theories. As to the internal case, the known gauge-fixing conditions can easily be reproduced in a unified way. For the external case, i.e., the Poincare gauge theory of gravitation, new gauge-fixing conditions are obtained, in particular the full nonlinear generalization of the Coulomb and axial gauge. They prove to be simultaneously valid for theories with or without torsion.

Post-Newtonian approximation of the Poincaré gauge theory of gravitation

The post-Newtonian approximation of the scalar-field limit of the quadratic Poincare gauge theory of gravitation is calculated. After all gauge degrees of freedom for the tetrads are fixed with respect to the usual parametrized post-Newtonian (PPN) gauge conditions for the metric, we find that the quadratic gauge theory agrees with the Einstein theory as well as or better than the PPN limit for components of the metric.

Is Gravitation Mediated by the Torsion of Spacetime?

We propose a new set of field equations within the framework of a Poincare gauge theory of gravitation. These equations couple momentum to the torsion and spin to the curvature of spacetime and encompass an Einstein-like limit.