标题： 关于稳态广义相对论吸积的稳定性及类比黑洞 显示英文标题

标题： On the stability of steady general-relativistic accretion and analogue black holes

摘要： 对自引力完美流体向致密天体的广义相对论球对称稳定吸积的调查揭示了存在两个弱吸积区域。 在第一个（对应于测试流体近似）中，中心天体的质量远大于吸积流体的质量；在第二个中，流体的质量占主导地位。 属于第一个区域的解的稳定性已由Moncrief证明。 在本工作中，我们报告了一系列数值研究的结果，这些结果展示了大质量解的稳定性，即属于上述第二个区域的解。 还表明，在吸积图景中的“声学视界”与广义相对论中的事件视界之间的形式类比是相当有限的。 “声学视界”的概念仅在小流体力学扰动的线性区域内有效。 强烈的扰动仍可能从“声学视界”之下逃逸。 显示英文摘要

摘要： Investigation of general-relativistic spherically symmetric steady accretion of self-gravitating perfect fluid onto compact objects reveals the existence of two weakly accreting regimes. In the first (corresponding to the test fluid approximation) the mass of the central object is much larger than the mass of the accreting fluid; in the second the mass of the fluid dominates. The stability of the solutions belonging to the first regime has been proved by Moncrief. In this work we report the results of a series of numerical studies demonstrating stability of massive solutions, i.e., belonging to the second of the aforementioned regimes. It is also shown that a formal analogy between "sonic horizons" in the accretion picture and event horizons in general relativity is rather limited. The notion of a "sonic horizon" is only valid in a linear regime of small hydrodynamical perturbations. Strong perturbations can still escape from beneath the "sonic horizon."