Abstract
Considers the relation between the general theory of relativity and the Einstein-Cartan theory in the case that matter is described by a Dirac field. Thereby the author finds the condition that an (arbitrary) solution of general relativity with a Dirac field is also a solution of the Einstein-Cartan-Dirac theory and vice versa. Exploiting this result the author generates new non-ghost solutions of the Einstein-Cartan-Dirac theory from ghost solutions of general relativity.
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