无膜的膜状奇点
Brane-like singularities with no brane
摘要：
我们用线性化的方法研究了未来宇宙学奇点的出现，它的特征是宇宙学半径的有限值。我们发现这样的奇异性，保持哈勃参数有限的，而使所有更高的衍生工具的比例因子（从$\ddot a$开始）发散的宇宙学奇点接近。由于这样的奇点以前在膜世界模型中得到过，我们称之为“类膜”奇点。在通常的Friedmann宇宙中，这种奇异性可以发生在膨胀阶段，宇宙中同时充满了一个自作用的、最小耦合的标量场和一个均匀的快子场。我们发现了一种新的有限时间未来奇点，它不同于I-IV型宇宙学奇点，因为它的标度因子、压力和密度是有限的且非零的。同时也得到了$w$ -奇异性的推广.
英文摘要：
We use a method of linearization to study the emergence of the future cosmological singularity characterized by finite value of the cosmological radius. We uncover such singularities that keep Hubble parameter finite while making all higher derivatives of the scale factor (starting out from the $\ddot a$) diverge as the cosmological singularity is approached. Since such singularities has been obtained before in the brane world model we name them the "brane-like" singularities. These singularities can occur during the expanding phase in usual Friedmann universe filled with both a self-acting, minimally coupled scalar field and a homogeneous tachyon field. We discover a new type of finite-time, future singularity which is different from type I-IV cosmological singularities in that it has the scale factor, pressure and density finite and nonzero. The generalization of $w$-singularity is obtained as well.
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