Barriola-Vilenkin global monopoles are incompatible with rotation in Einstein gravity because rotating metrics fail the scalar equation of motion and asymptotic regularity forces spherical symmetry.
Fathi,Shadow Analysis of an Approximate Rotat- ing Black Hole Solution with Weakly Coupled Global Monopole Charge, Universe11, 111 (2025)
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Why Barriola--Vilenkin Global Monopoles Cannot Rotate?
Barriola-Vilenkin global monopoles are incompatible with rotation in Einstein gravity because rotating metrics fail the scalar equation of motion and asymptotic regularity forces spherical symmetry.