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Stationary and axisymmetric solutions of relativistic rotating stars withstrong mixed poloidal and toroidal magnetic fields are obtained numerically.Because of the mixed components of the magnetic field, the underlyingstationary and axisymmetric spacetimes are no longer circular. Theseconfigurations are computed from the full set of the Einstein-Maxwellequations, Maxwell's equations and from first integrals and integrabilityconditions of the magnetohydrodynamic equilibrium equations. After a briefintroduction of the formulation of the problem, we present the first resultsfor highly deformed magnetized rotating compact stars.

Equilibrium solutions of relativistic rotating stars with mixed poloidal and toroidal magnetic fields