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arXiv 1306.1625astro-ph.SR
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磁化白矮星质量极限的强约束

Strong constraints on magnetized white dwarfs surpassing the Chandrasekhar mass limit

Rajaram Nityananda, Sushan Konar

摘要:

我们表明,最近提出的白矮星模型的质量远远超过了Escherasekhar极限,修改状态方程的中心超强磁场的基础上,是非常远离平衡,因为忽略了洛伦兹力。由球平均流体静力学方程得到的中心磁场的上界远小于假设值。鲁棒估计的洛伦兹力也没有假设球平均。这些结果再次证实了从球平均模型中得到的结果。在我们的评估中,这些估计排除了磁张力可能会改变情况,有利于更大的磁场的可能性。我们的结论是,这样的超拉塞卡模型是非物理的,探索其天体物理学的后果是为时过早。勘误:我们修正了本文中的某些数值估计。然而,这一修正并没有改变这样的结论,即当考虑洛伦兹力时,在中心存在超强磁场的情况下通过简单地修改状态方程得到的超大质量白矮星模型不能处于平衡状态。

英文摘要:

We show that recently proposed white dwarf models with masses well in excess of the Chandrasekhar limit, based on modifying the equation of state by a super-strong magnetic field in the centre, are very far from equilibrium because of the neglect of Lorentz forces. An upper bound on the central magnetic fields, from a spherically averaged hydrostatic equation, is much smaller than the values assumed. Robust estimates of the Lorentz forces are also made without assuming spherical averaging. These again bear out the results obtained from a spherically averaged model. In our assessment, these estimates rule out the possibility that magnetic tension could change the situation in favor of larger magnetic fields. We conclude that such super-Chandrasekhar models are unphysical and exploration of their astrophysical consequences is premature. Erratum : We correct certain numerical estimates made in our paper. This correction however does not alter the conclusion that when Lorentz forces are taken into account the super-massive white dwarf models, obtained simply by modifying the equation of state in presence of a super-strong magnetic field in the centre, fail to be in equilibrium.

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