A Poincaré gauge theory of gravity
type: Item
instance of: scholarly article
title: A Poincaré gauge theory of gravity
zbMATH Open document ID: 0602.53068
DOI: 10.1007/BF01090482
author: Toshiharu Kawai
published in: General Relativity and Gravitation
publication date: 1986-01-01T00:00:00Z
review text: The author proposes a new gauge theory of gravity with gauge group the covering group \(\overline{P}_ 0\) of the proper orthochronous Poincaré group. The mathematical language used is that of a principal fibre bundle over spacetime. In addition to the geometrical fields which are constructed from the connection, the theory includes a Higgs-type field and a matter field. The base manifold of the bundle, the spacetime, acquires a Lorentzian metric and a spinor structure, resulting from the geometrical and the Higgs field, respectively. An action is proposed and the associated Lagrangian depends on the fields and their first derivatives. The conservation laws implied by the gauge symmetry are investigated. It is shown that one can also consider ''intrinsic'' energy and momentum, arising from the invariance of the theory along the intrinsic translational degrees of gauge freedom. When the intrinsic energy-momentum of the matter fields vanishes the proposed theory agrees, for all practical reasons, with the conventional Poincaré gauge theory of gravity.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 81T08
Mathematics Subject Classification ID: 83D05
zbMATH DE Number: 3971701
zbMATH Keywords: Poincaré invariance
zbMATH Keywords: gauge theory of gravity
zbMATH Keywords: Higgs-type field
zbMATH Keywords: matter field
zbMATH Keywords: energy
zbMATH Keywords: momentum
MaRDI profile type: Publication
cites work: Some aspects of the geometry of first-quantized theories
cites work: Gravity as an internal Yang-Mills gauge field theory of the Poincaré group
cites work: Q5731354
cites work: Q5511581
cites work: Spinor Structure of Space-Times in General Relativity. I
cites work: Lorentz Invariance and the Gravitational Field
cites work: Problems with metric-teleparallel theories of gravitation
description: scientific article; zbMATH DE number 3971701