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arXiv 1105.0445gr-qc
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具有快子场和正压流体的引力坍缩

Gravitational collapse with tachyon field and barotropic fluid

Yaser Tavakoli, João Marto, Amir Hadi Ziaie, Paulo Vargas Moniz

摘要:

一个特殊的时空类,快子场,湍流和正压流体构成的物质内容,被认为是一个引力坍缩的模型。为了简单起见,快子势被假定为平方反比形式,即,V(正)\sim正^{-2}。我们的目的是利用快子不同于标准标量场的特殊运动学特征,建立由物质含量引起的几种渐近行为。采用动力系统分析,辅以彻底的数值研究,我们发现经典的解决方案对应的裸奇点或黑洞形成。特别是,有一个子集的流体和快子参与一个有趣的跟踪行为,敏感地依赖于快子场和正压流体的能量密度的初始条件。另外两类的解决方案,分别对应,要么快子或正压流体制度。哪一个是主要的,将取决于正压参数γ的选择。此外,这两种坍缩情形都以形成黑洞为最终状态。

英文摘要:

A particular class of space-time, with a tachyon field, ϕ, and a barotropic fluid constituting the matter content, is considered herein as a model for gravitational collapse. For simplicity, the tachyon potential is assumed to be of inverse square form i.e., V(ϕ) \sim ϕ^{-2}. Our purpose, by making use of the specific kinematical features of the tachyon, which are rather different from a standard scalar field, is to establish the several types of asymptotic behavior that our matter content induces. Employing a dynamical system analysis, complemented by a thorough numerical study, we find classical solutions corresponding to a naked singularity or a black hole formation. In particular, there is a subset where the fluid and tachyon participate in an interesting tracking behaviour, depending sensitively on the initial conditions for the energy densities of the tachyon field and barotropic fluid. Two other classes of solutions are present, corresponding respectively, to either a tachyon or a barotropic fluid regime. Which of these emerges as dominant, will depend on the choice of the barotropic parameter, γ. Furthermore, these collapsing scenarios both have as final state the formation of a black hole.

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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