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arXiv 0810.5223gr-qc
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弱荷极薄黑环热力学性质的简单测定

A Simple Determination of the Thermodynamical Characteristics of the Weakly Charged, Very Thin Black Ring

Vladan Pankovic, Simo Ciganovic

摘要:

在我们以前的工作中,我们提出了一个非常简单的,近似的形式主义描述的一些基本(特别是螺旋)的特点,一个不带电的,旋转的,非常薄的黑色环。在这里,在我们的新工作中,推广我们以前的结果,我们建议一个非常简单的,近似描述的一些基本(特别是几何)的特点,弱电荷,旋转,非常薄的黑色环。(Our形式主义在理论上并不可疑,因为不难看出,它可以代表一种对更精确的(例如科普兰-拉希里)描述黑洞的弦形式主义的极端简化。)即使建议的形式主义,一般来说,现象学的和粗糙的,所获得的最终结果,出乎意料的,是不平凡的。具体地说,给定的形式主义精确地再现了贝肯斯坦-霍金熵,熵或视界面积的贝肯斯坦量子化,以及一个弱电荷的、旋转的、非常薄的黑环的霍金温度,这些都是早期由Emparan,Aestefanesei,拉杜等人(从概念上讲,它类似于波尔原子模型中的情况,即使粗略地描述了电子运动,也几乎准确地确定了能级。)我们的形式主义是物理上的基础上的假设,地平线管的周长持有相应的约化康普顿波长的自然数(整数)。(It在概念上类似于玻尔的量子化假设在玻尔的原子模型解释的德布罗意关系。此外,我们在数学上实际上只使用简单的代数方程。

英文摘要:

In our previous work we suggested a very simple, approximate formalism for description of some basic (especially thermodynamical) characteristics of a non-charged, rotating, very thin black ring. Here, in our new work, generalizing our previous results, we suggest a very simple, approximate description of some basic (especially thermodynamical) characteristics of a weakly charged, rotating, very thin black ring. (Our formalism is not theoretically dubious, since, at it is not hard to see, it can represent an extreme simplification of a more accurate, e.g. Copeland-Lahiri, string formalism for the black hole description.) Even if suggested formalism is, generally speaking, phenomenological and rough, obtained final results, unexpectedly, are non-trivial. Concretely, given formalism reproduces exactly Bekenstein-Hawking entropy, Bekenstein quantization of the entropy or horizon area and Hawking temperature of a weakly charged, rotating, very thin black ring originally obtained earlier using more accurate analysis by Emparan, Aestefanesei, Radu etc. (Conceptually it is similar to situation in Bohr's atomic model where energy levels are determined practically exactly even if electron motion is described roughly.) Our formalism is physically based on the assumption that circumference of the horizon tube holds the natural (integer) number of corresponding reduced Compton's wave length. (It is conceptually similar to Bohr's quantization postulate in Bohr's atomic model interpreted by de Broglie relation.) Also, we use, mathematically, practically only simple algebraic equations.

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