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An axially symmetric solution of metric-affine gravity

E J VlachynskyInstitute for Theoretical Physics, University of Cologne, D-50923 Cologne, GermanyR TresguerresInstitute for Theoretical Physics, University of Cologne, D-50923 Cologne, GermanyYu N ObukhovInstitute for Theoretical Physics, University of Cologne, D-50923 Cologne, GermanyF W HehlInstitute for Theoretical Physics, University of Cologne, D-50923 Cologne, Germany
1996en
ABI

Abstract

We present an exact stationary {\it axially symmetric} vacuum solution of metric-affine gravity (MAG) which generalises the recently reported spherically symmetric solution. Besides the metric, it carries nonmetricity and torsion as post-Riemannian geometrical structures. The parameters of the solution are interpreted as mass and angular momentum and as dilation, shear and spin charges.

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