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arXiv 2501.07537gr-qchep-th
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重新审视带宇宙学常数的代数D型黑洞

Revisiting black holes of algebraic type D with a cosmological constant

Hryhorii Ovcharenko, Jiri Podolsky, Marco Astorino

AI总结:

本文通过显式坐标变换证明Plebanski-Demianski、Griffiths-Podolsky和Astorino三种度规形式局部等价,完整刻画了带宇宙学常数的代数D型黑洞族,并重点分析了无类Kerr旋转的加速NUT黑洞子类。

摘要:

作为我们之前工作[1](arXiv:2409.02308)的延伸,我们研究了一类完整的D型黑洞族,它们具有类Kerr旋转、NUT扭转、加速度、电荷和磁荷,以及任意值的宇宙学常数$Λ$。我们关联了这些时空的各种度规形式,即由Plebanski-Demianski(PD)、Griffiths-Podolsky(GP)以及最近的Astorino(A)所发现的形式。通过显式的坐标变换和对物理参数的恰当识别,我们证明了这些表示是局部等价的,并且覆盖了Einstein-Maxwell-$Λ$方程的全部D型解类,使得(非零的)电磁场与Weyl张量的两个(双重简并的)主类光方向都对齐。特别地,我们集中研究了描述无类Kerr旋转的加速NUT黑洞的子类。

英文摘要:

As an extension of our previous work [1] (arXiv:2409.02308), we study a complete family of type D black holes with Kerr-like rotation, NUT twist, acceleration, electric and magnetic charges, and any value of the cosmological constant $Λ$. We relate various metric forms of these spacetimes, namely those found by Plebanski-Demianski (PD), Griffiths-Podolsky (GP), and most recently Astorino (A). By explicit coordinate transformations and proper identification of the physical parameters we show that these representations are locally equivalent, and cover the entire class of type D solutions of the Einstein-Maxwell-$Λ$ equations, such that the (non-null) electromagnetic field is aligned with both the (double-degenerate) principal null directions of the Weyl tensor. In particular, we concentrate on the subclass which describes accelerating NUT black holes without the Kerr-like rotation.

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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