AI 中文总结
该研究针对任意宇宙学常数的D型加速黑洞，推导适配两类共形无穷远的新度量形式，证实其引力辐射仅存在于黑洞加速时。
AI 中文摘要
我们采用了Astorino近期发现的、所有具有Kerr旋转、NUT扭转、加速度、电荷及磁荷且宇宙学常数Λ取任意值的代数D型Plebanski-Demianski黑洞的便捷参数化形式。这构成了爱因斯坦-麦克斯韦-Λ方程的一类完整精确解，其中非零电磁场与外尔张量的类测地、无剪切、双主零方向均对齐。我们推导了一种新颖的合适度量形式及对应的规范框架，该框架自然适配类德西特（Λ>0）和类反德西特（Λ<0）共形无穷远，且证明这些几何对象可用于研究辐射性质。特别地，利用Fernandez-Alvarez-Senovilla判据，该框架证实：当且仅当这些黑洞处于加速状态时，才存在引力辐射。
英文摘要
We apply a convenient parametrization of all Plebanski-Demianski black holes of algebraic type D with the Kerr rotation, NUT twist, acceleration, electric and magnetic charges, and any value of the cosmological constant $Λ$, recently found by Astorino. This represents a complete class of exact solutions to the Einstein-Maxwell-$Λ$ equations such that the (non-null) electromagnetic field is aligned with both the (geodesic, shear-free, double) principal null directions of the Weyl tensor. We derive a novel appropriate metric form and the corresponding canonical frames naturally adapted to both the de~Sitter-like ($Λ>0$) and the anti-de~Sitter-like ($Λ<0$) conformal infinity, and we demonstrate that these geometric objects are useful for investigation of radiation properties. In particular, using the Fernandez-Alvarez-Senovilla criterion, it confirms that the gravitational radiation is present if, and only if, these black holes are accelerating.
Comments28 pages, no figure
