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The van Stockum-Bonner class of spacetimes can be interpreted as fullygeneral relativistic models for rigidly rotating disc galaxies. Frame-draggingeffects in these geometries demand a recalibration of the dark matter contentrelative to models based on Newtonian gravity. We investigate the previouslyoverlooked topological structure of these spacetimes, in relation to theviability of fully general relativistic galaxy toy models. We discuss theappropriate boundary conditions for these solutions to model disc galaxies. Forthis class of spacetimes, we show the existence of a network of quasi-regularsingularities along the rotation axis of the galaxies. The existence of suchnovel conical defect structures further restricts the physical viability of thevan Stockum-Bonner class. Unwinding these issues is key to avoiding pathologiesin future fully general relativistic modelling of alternative to dark matter.

Topological constraints on general relativistic galaxies: Exploring novel conical singularity networks