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An exact solution of the metric-affine gauge theory with dilation, shear, and spin charges

Yu. N. Obukhov·E. J. Vlachynsky·W. Esser·R. Tresguerres·F. W. Hehl
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Abstract

The spacetime of the metric-affine gauge theory of gravity (MAG) encompasses {\it nonmetricity} and {\it torsion} as post-Riemannian structures. The sources of MAG are the conserved currents of energy-momentum and dilation, shear and spin. We present an exact static spherically symmetric vacuum solution of the theory describing the exterior of a lump of matter carrying mass and dilation, shear and spin charges.

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Yu. N. Obukhov, E. J. Vlachynsky, W. Esser, R. Tresguerres, F. W. Hehl. 1996-04-12. An exact solution of the metric-affine gauge theory with dilation, shear, and spin charges. https://doi.org/10.1016/0375-9601(96)00531-2

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