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arXiv 1004.4952hep-thgr-qc
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非平凡拓扑黑洞背景中的Dirac费米子

Dirac Fermions in Non-trivial Topology Black Hole Backgrounds

Marek Gozdz, Lukasz Nakonieczny, Marek Rogatko

备注：
15 pages, RevTex, to be published in Phys.Rev.D15, some misprints were corrected
发表信息：
Phys.Rev.D81:104027,2010
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摘要：

本文讨论了一般球对称黑洞背景中狄拉克费米子的行为，该背景具有非平凡的事件视界拓扑。有质量和无质量的情况都考虑在内。本文将分析研究在一个具有全局双粒子和被宇宙弦穿透的黑洞的黑洞背景下，大质量狄拉克头发的中晚期行为。结果表明，在静态黑洞吞噬全局粒子的情况下，中间晚期行为依赖于狄拉克场的质量、波模的倍数和全局粒子参数。后期行为与这些因素完全无关，并且具有与$t^{-5/6}$成比例的衰减率。就被宇宙弦穿透的黑洞而言，中间的晚期行为只依赖于头发质量和波模的多极数，而晚期行为的依赖性与前一种情况相同。主要的修改源于被宇宙弦穿透的$S^2$球的拓扑结构。这个因子修改了作用在横流形上的狄拉克算子的本征值。

英文摘要：

We discuss the behaviour of the Dirac fermions in a general spherically symmetric black hole background with a non-trivial topology of the event horizon. Both massive and massless cases are taken into account. The analytical studies of intermediate and late-time behaviour of massive Dirac hair in the background of a black hole with a global monopole and dilaton black hole pierced by a cosmic string will be conducted. It was revealed that in the case of a global monopole swallowed by a static black hole the intermediate late-time behaviour depends on the mass of the Dirac field, the multiple number of the wave mode and the global monopole parameter. The late-time behaviour is quite independent of these factors and has the decay rate proportional to $t^{-5/6}$. As far as the black hole pierced by a cosmic string is concerned the intermediate late-time behaviour depends only on the hair mass and the multipole number of the wave mode while the late-time behaviour dependence is the same as in the previous case. The main modification stems from the topology of the $S^2$ sphere pierced by a cosmic string. This factor modifies the eigenvalues of the Dirac operator acting on the transverse manifold.

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