A gravitational Poincaré gauge theory and Higgs mechanism

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Abstract
In this paper we shall construct the Lagrangian of a gravitational Poincaré gauge theory using degeneracy in the Euler–Lagrange expressions as a primary restriction. Such a generalization of a Lorentz gauge theory requires the addition of not only a translation gauge connection, but also a Goldstone field. The intractability of the field equations is lessened somewhat by means of a particular choice of gauge which acts like a Higgs mechanism. With one further assumption a complete reduction to the corresponding Lorentz theory can be made, and the Einstein vacuum field equations with cosmological term are recovered.

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