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abstract: 'We have succeeded in obtaining magnetized star models that have extremely strong magnetic fields in the interior of the stars. In our formulation, arbitrary functions of the magnetic flux function appear in the expression of the current density. By appropriately choosing the functional form for one of the arbitrary functions which corresponds to the distribution of the [*toroidal*]{} current density, we have obtained configurations with magnetic field distributions that are highly localized within the central part and near the magnetic axis region. The absolute values of the central magnetic fields are stronger than those of the surface region by two orders of magnitude. By applying our results to magnetars, the internal magnetic [*poloidal*]{} fields could be $10^{17}$ G, although the surface magnetic fields are about $10^{15}$ G in the case of magnetars. For white dwarfs, the internal magnetic [*poloidal*]{} fields could be $10^{12}$ G, when the surface magnetic fields are $10^{9} - 10^{10}$ G .'
author:
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    Kotaro Fujisawa [^1], Shin’ichirou Yoshida and Yoshiharu Eriguchi\
    Department of Earth Science and Astronomy, Graduate School of Arts and Sciences, University of Tokyo,\
    Komaba, Meguro-ku, Tokyo 153-8902, Japan
date: 'Accepted 2012 January 23. Received 2012 January 23; in original form 