Other
Scientific paper
Jul 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003pasb.conf..193i&link_type=abstract
"Pulsars, AXPs and SGRs observed with BeppoSAX and Other Observatories, Proceedings of the International Workshop held in Marsal
Other
Scientific paper
It is well known that basic equations for the axisymmetric stationary ideal magnetohydrodynamic (MHD) system are reduced to a single second-order, nonlinear partial differential equation, so called the Grad-Shafranov (GS) equation. However, the GS equation for the most general case, when the stress-energy tensor is not circular so that one cannot make the usual foliation of spacetime into two orthogonal families of two-surfaces, has not been given explicitly in the framework of the general relativity. We derive the GS equation for the noncircular (the most general) axisymmetric stationary spacetimes. Such a study is needed to solve the equilibrium configuration of relativistic stars with strong toroidal magnetic field or convection such as magnetars.
Ioka Kunihito
Sasaki Makoto
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