标题： 磁场对中子星弯曲时空中的状态方程的影响 显示英文标题

标题： Effects of magnetic field on the equation of state in curved spacetime of a neutron star

摘要： 中子星已知具有强磁场，最高可达$10^{15}$高斯，此外还有强烈弯曲的内部时空。 因此，在计算中子星物质的状态方程时，应考虑磁场和弯曲时空的影响。 在本文中，我们在存在磁场的中子星弯曲时空中，计算了简并费米子系综的状态方程。 我们表明，弯曲时空对状态方程的影响比观测到的磁场强度的影响要强得多。 此外，显示在简并中子星的边界处会形成仅包含自旋向上中子的薄层。 显示英文摘要

摘要： Neutron stars are known to have strong magnetic fields reaching as high as $10^{15}$ Gauss, besides having strongly curved interior spacetime. So for computing an equation of state for neutron-star matter, the effect of magnetic field as well as curved spacetime should be taken into account. In this article, we compute the equation of state for an ensemble of degenerate fermions in the curved spacetime of a neutron star in presence of a magnetic field. We show that the effect of curved spacetime on the equation of state is relatively stronger than the effect of observed strengths of magnetic field. Besides, a thin layer containing only spin-up neutrons is shown to form at the boundary of a degenerate neutron star.