Abstract
In our previous work on the 3-dimensional dynamical structure of planetary neb- ulae the effect of magnetic field was not considered. Recently Jordan et al. have directly de- tected magnetic fields in the central stars of some planetary nebulae. This discovery supports the hypothesis that the non-spherical shape of most planetary nebulae is caused by magnetic fields in AGB stars. In this study we focus on the role of initially weak toroidal magnetic fields embedded in a stellar wind in altering the shape of the PN. We found that magnetic pressure is probably influential on the observed shape of most PNe.
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