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arXiv 1502.02039astro-ph.HE
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相对论效应对孤立星潮汐破裂反冲的影响

Relativistic effects on tidal disruption kicks of solitary stars

Emanuel Gafton, Emilio Tejeda, James Guillochon, Oleg Korobkin, Stephan Rosswog

摘要:

如果超大质量黑洞(SMBH)的潮汐力克服了恒星的自引力,那么过于靠近银河系中心的孤立恒星就会被潮汐力破坏。如果恒星只是部分分裂,那么一小部分作为自我束缚的物体存活下来,这个剩余的核心将经历特定轨道能量的净增益,这转化为高达$\sim 10^3$ km/s的速度“kick”。在本文中,我们提出的光滑粒子流体动力学(SPH)模拟的结果,这种部分破裂,并分析了速度踢上的幸存的核心。我们比较了$γ$ = 5/3和$γ$ = 4/3多面体在牛顿势和广义势中的破坏,广义势再现了史瓦西黑洞周围的大多数相对论效应,无论是精确的还是非常精确的。对于牛顿的情况下,我们证实了以前的研究结果,即幸存的核心的反冲速度几乎是独立的黑洞的比例,恒星质量,是一个函数的碰撞参量$β$单独,达到最多的逃逸速度的原始恒星。对于一个给定的$β$,相对论效应对于更大的黑洞质量变得越来越重要。特别是,我们发现,踢速度增加与黑洞质量,使更大的踢比在牛顿的情况下更常见,低$β$遇到统计上更有可能比高$β$遇到。对广义势的潮汐张量的分析表明,我们的结果是真实相对论反冲速度的鲁棒下限,并且与精确结果基本一致。

英文摘要:

Solitary stars that wander too close to their galactic centres can become tidally disrupted, if the tidal forces due to the supermassive black hole (SMBH) residing there overcome the self-gravity of the star. If the star is only partially disrupted, so that a fraction survives as a self-bound object, this remaining core will experience a net gain in specific orbital energy, which translates into a velocity "kick" of up to $\sim 10^3$ km/s. In this paper, we present the result of smoothed particle hydrodynamics (SPH) simulations of such partial disruptions, and analyse the velocity kick imparted on the surviving core. We compare $γ$ = 5/3 and $γ$ = 4/3 polytropes disrupted in both a Newtonian potential, and a generalized potential that reproduces most relativistic effects around a Schwarzschild black hole either exactly or to excellent precision. For the Newtonian case, we confirm the results of previous studies that the kick velocity of the surviving core is virtually independent of the ratio of the black hole to stellar mass, and is a function of the impact parameter $β$ alone, reaching at most the escape velocity of the original star. For a given $β$, relativistic effects become increasingly important for larger black hole masses. In particular, we find that the kick velocity increases with the black hole mass, making larger kicks more common than in the Newtonian case, as low-$β$ encounters are statistically more likely than high-$β$ encounters. The analysis of the tidal tensor for the generalized potential shows that our results are robust lower limits on the true relativistic kick velocities, and are generally in very good agreement with the exact results.

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