标题： 关于高维Nutty时空中的粒子和标量场的注记 显示英文标题

标题： A Note on Particles and Scalar Fields in Higher Dimensional Nutty Spacetimes

摘要： 本文中，我们研究了在具有NUT荷的高维广义类时空背景下的测地流的可积性。 这一广泛集合涵盖了多重NUT荷解、带电解和磁充电解、带有宇宙常数的解以及类似泡泡的时间相关解。 我们还推导出了这些背景下粒子的运动一阶方程。 结果表明，由于非平凡不可约Killing张量的存在，可分离性是可能的。 最后，我们还考察了这些时空中的标量场的Klein-Gordon方程，并证明了完全可分离性。 显示英文摘要

摘要： In this note, we study the integrability of geodesic flow in the background of a very general class of spacetimes with NUT-charge(s) in higher dimensions. This broad set encompasses multiply NUT-charged solutions, electrically and magnetically charged solutions, solutions with a cosmological constant, and time dependant bubble-like solutions. We also derive first-order equations of motion for particles in these backgrounds. Separability turns out to be possible due to the existence of non-trivial irreducible Killing tensors. Finally, we also examine the Klein-Gordon equation for a scalar field in these spacetimes and demonstrate complete separability.