A. Macias et al., SOLITONIC MONOPOLE SOLUTION IN METRIC-AFFINE GAUGE-THEORY CARRYING WEYL CHARGES, Classical and quantum gravity, 15(2), 1998, pp. 445-452
Examples in which spacetime might become non-Riemannian above Planck e
nergies occur in string theory or in the very early universe in the in
flationary model. The simplest such geometry is metric-affine geometry
, in which nonmetricity appears as a field strength, side by side with
curvature and torsion. In this paper we obtain a solitonic solution o
f the metric-affine gauge theory of gravity, which is endowed with she
ar and dilational Weyl charges.