标题： 关于普莱班斯基-德米安斯基解族的共形基灵-杨氏张量 显示英文标题

标题： On conformal Killing-Yano tensors for Plebanski-Demianski family of solutions

摘要： 我们给出了四维类型D的Plebanski-Demianski解族的共形Killing-Yano张量的显式表达式。 一些物理上重要的特殊情况被更详细地讨论。 特别是，展示了共形Killing-Yano张量如何在无加速度的解中变为Killing-Yano张量。 研究了向高维推广的可能性。 尽管在四维中从非加速解到加速解的转换是通过度规的共形重标度实现的，但我们表明在高维中这种过程不够一般——仅能得到'加速'坐标下的最大对称时空。 显示英文摘要

摘要： We present the explicit expressions for the conformal Killing-Yano tensors for the Plebanski-Demianski family of type D solutions in four dimensions. Some physically important special cases are discussed in more detail. In particular, it is demonstrated how the conformal Killing-Yano tensor becomes the Killing-Yano tensor for the solutions without acceleration. A possible generalization into higher dimensions is studied. Whereas the transition from the nonaccelerating to accelerating solutions in four dimensions is achieved by the conformal rescaling of the metric, we show that such a procedure is not sufficiently general in higher dimensions - only the maximally symmetric spacetimes in 'accelerated' coordinates are obtained.