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An axially symmetric solution of metric-affine gravity

E. J. Vlachynsky, R. Tresguerres, Yu. N. Obukhov, F. W. Hehl

gr-qcarXiv:gr-qc/9604035

Abstract

We present an exact stationary 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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