A new class of exact solutions of the vacuum quadratic Poincaré gauge field theory

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Scientific paper

A class of algebraically special exact solutions of the vacuum quadratic Poincaré gauge field theory is presented. These solutions are of type III and type N and have a nonexpanding, shear-free and twist-free geodesic repeated principal null congruence. The metric is of Kundt's class, and the torsion components are solutions of certain differential equations. The solutions have been obtained using a generalised spin coefficient formalism.

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