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arXiv 1503.05102gr-qc
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Schwarzschild-anti-de Sitter时空中的同宿吸积解

Homoclinic accretion solutions in the Schwarzschild-anti-de Sitter spacetime

Patryk Mach

摘要:

本文的目的是澄清Schwarzschild-anti-de Sitter时空中同宿和标准(整体)Bondi型吸积解之间的区别。最近,多方状态方程的同宿解被数值地发现了。在这里,我表明,他们也存在某些等温(线性)状态方程,并获得这种类型的解析解。有人认为,这种解决方案的存在是通用的,虽然充分相对论性的物质模型(光子气体,超硬状态方程)存在的全球解决方案,可以继续到无穷大,类似于标准的米歇尔的解决方案在史瓦西时空。与此相反,全球解决方案不应该存在的物质模型与非零的静止质量组件,这是证明多面体。对于同宿等温解,我推导出一个上界的质量的黑洞,其中固定的跨音速吸积是允许的。

英文摘要:

The aim of this paper is to clarify the distinction between homoclinic and standard (global) Bondi-type accretion solutions in the Schwarzschild-anti-de Sitter spacetime. The homoclinic solutions have recently been discovered numerically for polytropic equations of state. Here I show that they exist also for certain isothermal (linear) equations of state, and an analytic solution of this type is obtained. It is argued that the existence of such solutions is generic, although for sufficiently relativistic matter models (photon gas, ultra-hard equation of state) there exist global solutions that can be continued to infinity, similarly to standard Michel's solutions in the Schwarzschild spacetime. In contrast to that global solutions should not exist for matter models with a non-vanishing rest-mass component, and this is demonstrated for polytropes. For homoclinic isothermal solutions I derive an upper bound on the mass of the black hole for which stationary transonic accretion is allowed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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