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

Antonios Tsokaros; Charalampos Markakis; Eric Gourgoulhon; Koji Uryu; Kotaro Fujisawa; Yoshiharu Eriguchi

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

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arxiv 1410.3913 v1 pith:YF4S4LMF submitted 2014-10-15 astro-ph.HE gr-qc

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

Koji Uryu , Eric Gourgoulhon , Charalampos Markakis , Kotaro Fujisawa , Antonios Tsokaros , Yoshiharu Eriguchi This is my paper

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keywords equationsmagneticmixedrotatingstarsaxisymmetricequilibriumfields

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Stationary and axisymmetric solutions of relativistic rotating stars with strong mixed poloidal and toroidal magnetic fields are obtained numerically. Because of the mixed components of the magnetic field, the underlying stationary and axisymmetric spacetimes are no longer circular. These configurations are computed from the full set of the Einstein-Maxwell equations, Maxwell's equations and from first integrals and integrability conditions of the magnetohydrodynamic equilibrium equations. After a brief introduction of the formulation of the problem, we present the first results for highly deformed magnetized rotating compact stars.

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