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克尔-NUT热力学:米斯纳弦与努特荷

Kerr-NUT Thermodynamics: Misner Strings and Nut Charges

Mohamed Tharwat, Adel Awad

arXiv 2608.01152首次发表:更新:

AI 中文总结

该研究将2206.09124的热力学方法应用于克尔-NUT解,发现与角动量对偶的新守恒量,补充了满足所有热力学关系的相关电荷,完善了克尔-NUT热力学的理论框架。

AI 中文摘要

我们采用e-Print:2206.09124 [hep-th]中引入的热力学方法研究克尔-NUT解,证明存在一个与角动量对偶的新守恒量,其关系如同努特荷“n”与质量“m”的对偶。该量的存在与克尔转动参数a是否存在无关,但仅在a≠0时影响其热力学。结合两个电荷Nc=cn和n计算出的热力学量,满足第一定律、斯马尔关系和吉布斯-杜安关系等所有一致的热力学关系。

英文摘要

Using the thermodynamic approach introduced in e-Print: 2206.09124 [hep-th] to the case of Kerr-NUT solution, we demonstrate the existence of a new conserved quantity that is dual to the angular momentum, in the same way that the nut charge "n" is dual to the mass "m". This quantity exists regardless of the presence of the Kerr rotation parameter $a$, but only affects its thermodynamics when $a\neq 0$. The thermodynamic quantities calculated together with the two charges $N_{c}=cn$ and $N_{n}=n$ lead to consistent thermodynamic relations. That is, the first law, Smarr's and Gibbs-Duhem relations are all satisfied.

Comments15 pages, 0 figures, 36 references

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