论文标题
在旋转黑洞空位中的共形耦合标量
Conformally Coupled Scalar in Rotating Black Hole Spacetimes
论文作者
论文摘要
我们在各个维度上证明了共同耦合标量场方程的可分离性。可分离性在本质上是由一组完整的相互通勤共形波算子的存在，可以从主要的杀伤yano张量的隐藏对称性构建。通过保形对称性的象征，可分离性也适用于任何重新缩放的（脱壳）指标。这在四个维度中尤其有趣，在四个维度上可以保证一般的plebanski-demianski时空中的共形耦合标量场的可分离性。
We demonstrate separability of conformally coupled scalar field equation in general (off-shell) Kerr-NUT-AdS spacetimes in all dimensions. The separability is intrinsically characterized by the existence of a complete set of mutually commuting conformal wave operators that can be constructed from a hidden symmetry of the principal Killing-Yano tensor. By token of conformal symmetry, the separability also works for any Weyl rescaled (off-shell) metrics. This is especially interesting in four dimensions where it guarantees separability of a conformally coupled scalar field in the general Plebanski-Demianski spacetime.
