论文标题

稳定的批判性积聚到黑洞:自助力和声音点特征

Steady critical accretion onto black holes: selfgravity and sonic point characteristics

论文作者

Mach, Patryk, Malec, Edward

论文摘要

最简单的流量模型可以证明靠背的影响(自我重力),将多变态完美流体的球形对称稳定积聚在黑洞上。在16年前发现,在适当条件下,反应不会影响声音点的某些(“密集”)特征。在此,我们考虑更广泛的状态方程,并在范围内具有多向指数(1,2],并建立详细的边界条件,使人们能够证明这一事实。我们还会发现显示我们分析标准的限制的数值示例 - 如果不满足合适的分析条件 - 如果不满足,那么自我gravity会自我限制,该事实的所有特征会构成SONONIC的所有特征。紧凑型恒星物体内的黑洞。

The spherically symmetric steady accretion of polytropic perfect fluids onto a black hole is the simplest flow model that can demonstrate effects of backreaction (selfgravity). It has been discovered 16 years ago that backreaction does not influence some ("intensive") characteristics of sonic points, under suitable conditions. Herein we consider a wider class of equations of state, with polytropic indices in the range (1,2], and establish detailed boundary conditions that allow one to prove this fact. We find also numerical examples showing limits of our analytic criteria - if suitable analytic conditions are not satisfied, then selfgravity influences all characteristics of sonic points. That fact constrains the applicability of the recent proposal of Baumgarte and Shapiro to estimate the lifetime of black holes within compact stellar objects.

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