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arXiv 0808.0618gr-qc
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极薄黑环热力学性质的简易测定

A Simple Determination of the Thermodynamical Characteristics of a Very Thin Black Ring

Vladan Pankovic, Simo Ciganovic

摘要:

在这项工作中,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)的旋转,非常薄的黑色环的特点。(In事实上,我们的形式主义在理论上并不可疑,因为不难看出,它可以对应于描述黑洞的更精确的科普兰-拉希里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,给出的形式精确地再现了贝肯斯坦-霍金熵,贝肯斯坦熵量子化或视界面积和霍金温度的旋转,非常薄的黑色环之前获得使用更精确的分析由雷尔,Emparan,Elvang,Virmani等(概念上它类似于玻尔的原子模型中的情况,其中能级实际上是精确确定的,即使电子运动被粗略地描述)。我们的形式主义,根据我们以前的作品中的建议,是物理上的基础上的假设,即圆周的地平线管持有相应的减少康普顿波长的自然(整数)数量。(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(通过确定霍金温度,我们还使用了Smarr关系的简单微分)。

英文摘要:

In this work we suggest a very simple, approximate formalism for description of some basic (especially thermodynamical) characteristics of a rotating, very thin black ring. (In fact, our formalism is not theoretically dubious, since, at it is not hard to see, it can correspond to an extreme simplification of a more accurate, 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 rotating, very thin black ring obtained earlier using more accurate analysis by Reall, Emparan, Elvang, Virmani 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, according to suggestions in our previous works, 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 (by determination of Hawking temperature we use additionally only simple differentiation of Smarr relation).

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