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arXiv 1503.04171astro-ph.SR
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广义相对论和牛顿白矮星

General Relativistic and Newtonian White Dwarfs

Kuantay Boshkayev, Jorge A. Rueda, Remo Ruffini, Ivan Siutsou

摘要:

在牛顿引力理论和广义相对论的框架下,分析了匀速旋转白矮星的性质。在这两种情况下,哈特尔的形式主义适用于构建内部和外部解决方案的场方程。白矮星(WD)物质由Krasekhar状态方程描述。考虑到质量脱落限制,逆$β$衰变不稳定性,和边界建立的恒定角动量$J$序列的转折点,分离稳定的长期不稳定的配置RWD的稳定性的区域。我们发现,在这两种情况下的最小旋转周期$\sim0.28$ s和最大旋转质量$\sim1.534 M_{\odot}$和$\sim1.516 M_{\odot}$的牛顿和广义相对论WD,分别。通过使用转向点方法,我们表明,广义相对论WD确实可以轴对称不稳定,而牛顿WD是稳定的。

英文摘要:

The properties of uniformly rotating white dwarfs (RWDs) are analyzed within the framework of Newton's gravity and general relativity. In both cases Hartle's formalism is applied to construct the internal and external solutions to the field equations. The white dwarf (WD) matter is described by the Chandrasekhar equation of state. The region of stability of RWDs is constructed taking into account the mass-shedding limit, inverse $β$-decay instability, and the boundary established by the turning points of constant angular momentum $J$ sequences which separates stable from secularly unstable configurations. We found the minimum rotation period $\sim0.28$ s in both cases and maximum rotating masses $\sim1.534 M_{\odot}$ and $\sim1.516 M_{\odot}$ for the Newtonian and general relativistic WDs, respectively. By using the turning point method we show that general relativistic WDs can indeed be axisymmetrically unstable whereas the Newtonian WDs are stable.

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