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arXiv 1503.07942astro-ph.HEgr-qc
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Eddington激发的Born-Infeld引力中的磁化相对论恒星模型

Magnetized relativistic stellar models in Eddington-inspired Born-Infeld gravity

Hajime Sotani

摘要:

考虑了在Eddington激发的Born-Infeld(EiBI)引力下中子星内部的磁场结构.为了构造磁场,我们推导了EiBI中的相对论Grad-Shafranov方程,并以内部磁场应与外部分布相连接的方式数值确定了磁场分布。然后,我们发现EiBI中中子星内部的磁场分布与广义相对论中中子星内部的磁场分布在性质上是相似的,其中EiBI中中子星内部的磁场分布与广义相对论中中子星内部的磁场分布的偏差几乎可以与中子星物质状态方程引起的不确定性相比拟.然而,我们也发现地壳区的磁场几乎与EiBI中的耦合常数无关,这表明通过对地壳区相关现象的观测,可以获得与引力理论无关的地壳物态方程信息.无论如何,由于EiBI引力在磁场上的印记很弱,考虑到许多磁不确定性,磁场可能是引力理论的一个糟糕的探测器。

英文摘要:

We consider the structure of the magnetic fields inside the neutron stars in Eddington-inspired Born-Infeld (EiBI) gravity. In order to construct the magnetic fields, we derive the relativistic Grad-Shafranov equation in EiBI, and numerically determine the magnetic distribution in such a way that the interior magnetic fields should be connected to the exterior distribution. Then, we find that the magnetic distribution inside the neutron stars in EiBI is qualitatively similar to that in general relativity, where the deviation of magnetic distribution in EiBI from that in general relativity is almost comparable to uncertainty due to the equation of state (EOS) for the neutron star matter. However, we also find that the magnetic fields in the crust region are almost independent of the coupling constant in EiBI, which suggests a possibility to obtain the information about the crust EOS independently of the gravitational theory via the observations of the phenomena associated with the crust region. In any case, since the imprint of EiBI gravity on the magnetic fields is weak, the magnetic fields could be a poor probe of gravitational theories, considering many magnetic uncertainties.

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