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Plebański-Demiański-like solutions in metric-affine gravity

A. Garcia, F. W. Hehl, C. Laemmerzahl, A. Macias, J. Soccorro

gr-qcarXiv:gr-qc/9803012

Abstract

We consider a (non--Riemannian) metric--affine gravity theory, in particular its nonmetricity--torsion sector ``isomorphic'' to the Einstein--Maxwell theory. We map certain Einstein--Maxwell electrovacuum solutions to it, namely the Plebański--Demiański class of Petrov type D metrics.

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