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arXiv 1604.00643astro-ph.HEgr-qc
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刚性旋转超大质量恒星对引力坍缩的稳定性

Stability of rigidly rotating supermassive stars against gravitational collapse

Masaru Shibata, Haruki Uchida, Yuichiro Sekiguchi

摘要:

在广义相对论中,我们重新讨论了刚性旋转超大质量恒星(SMS)的长期稳定性。我们假设SMSs处于核燃烧阶段,可以用多方指数$n_p$略小于$3$的多方状态方程来模拟。稳定性是根据转折点法确定的。我们找到了SMSs的$n_p$($2.95 \alt n_p \alt 3$)的合理范围的稳定性条件的拟合公式。这种情况再次证实,虽然非旋转的SMS与质量$\sim 10^5M_\odot$-$10^6M_\odot$可能会经历一个广义相对论引起的准径向崩溃,刚性旋转的SMS与旋转的比例与引力势能($β$)的$\sim 10^{-2}$可能是稳定的崩溃,除非他们能够吸积$\sim 5$倍以上的质量在(相对短暂的)氢燃烧阶段的演变。我们讨论我们的结果的影响。

英文摘要:

We revisit secular stability against quasi-radial collapse for rigidly rotating supermassive stars (SMSs) in general relativity. We suppose that the SMSs are in a nuclear-burning phase and can be modeled by polytropic equations of state with the polytropic index $n_p$ slightly smaller than $3$. The stability is determined in terms of the turning-point method. We find a fitting formula of the stability condition for the plausible range of $n_p$ ($2.95 \alt n_p \alt 3$) for SMSs. This condition reconfirms that, while non-rotating SMSs with mass $\sim 10^5M_\odot$--$10^6M_\odot$ may undergo a general-relativistically induced quasi-radial collapse, rigidly rotating SMSs with a ratio of rotational to gravitational potential energy ($β$) of $\sim 10^{-2}$ are likely to be stable against collapse unless they are able to accrete $\sim 5$ times more mass during the (relatively brief) hydrogen-burning phase of their evolution. We discuss implications of our results.

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