AI 中文总结
研究高维旋转黑洞时空中具有混合对称性的高阶广义Killing张量给出例子与应用，受共形Killing张量启发提出推广，证明其在高维旋转黑洞时空存在，可沿类光测地线平行输运。
AI 中文摘要
我们研究具有混合对称性的高阶广义Killing张量，并给出了一些例子和应用。结果表明，这类对象自然存在于高维旋转黑洞时空中，它们是Killing-Yano张量的部分收缩“平方”，具有有趣的代数和微分性质。受共形Killing张量的启发，提出了一种能沿类光测地线产生平行输运张量的推广，并证明其存在于高维旋转黑洞时空中。
英文摘要
We study higher-rank generalized Killing tensors with mixed symmetries, providing a couple of examples and applications. It is shown that such objects naturally exist in higher-dimensional rotating black hole spacetimes, where they arise as partially contracted "squares" of Killing-Yano tensors and display interesting algebraic and differential properties. Motivated by conformal Killing tensors, a generalization of these objects that gives rise to parallel-transported tensors along null geodesics is proposed and shown to exist in higher-dimensional rotating black hole spacetimes.
Comments12 pages, no figures
