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arXiv 2102.08222gr-qc
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具有dS核的类黑弦方程的一个新的精确解

A new exact solution of black-strings-like with a dS core

Milko Estrada

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摘要：

通过将一个四维规则黑洞嵌入到一个紧致的额外维中，给出了一个新的五维类黑弦解。我们阐明了一系列的约束条件，以使五维黑弦的解决方案是定期的，并遵循这些约束条件，我们构建我们的解决方案。而不是通常的奇异性，它是形成一个核心，其拓扑结构对应于之间的产品的de-Sitter核心的四维海沃德解决方案和$S^1$。地平线具有拓扑$S^2 \times S^1$。在径向坐标的无穷远处，规则的四维几何是渐近平坦的，{ \it即}，在这个地方，完全解的拓扑对应于Minkowski和$S^1$之间的乘积。在诱导的四维几何中，我们计算出温度和熵的正确值。

英文摘要：

We provide a new five dimensional black string--like solution by means of the embedding of a four dimensional regular black hole into a compact extra dimension. We enunciate a list of constraints in order to that the five dimensional black string--like solution to be regular, and, following these constraints we construct our solution. Instead of the usual singularity, it is formed a core whose topology corresponds to the product between the de--Sitter core of the four dimensional Hayward solution and $S^1$. The horizon has topology $S^2 \times S^1$. At infinity of the radial coordinate the regular four dimensional geometry is asymptotically flat, {\it i.e}, at this place the topology of the complete solution corresponds to the product between Minkowski and $S^1$. At the induced four dimensional geometry we compute the correct values of temperature and entropy.

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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