Weak electromagnetic field admitting integrability in Kerr-NUT-(A)dS spacetimes
Weak electromagnetic field admitting integrability in Kerr-NUT-(A)dS spacetimes
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弱电磁场允许 Kerr-NUT-(A)dS 时空中可积
DOI：
10.1103/physrevd.91.124045
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
P. Krtouš
中科院分区：
文献类型：
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作者：
I. Kolář;P. Krtouš
我们研究了高维一般旋转黑洞时空的性质，即所谓的Kerr-NUT-(A)DS时空，以及一族具有相同显式和隐式对称性的相关空间族。在这些空间中，我们研究了存在弱电磁场的粒子的运动，并将其与其算符类比进行了比较。首先，我们给出了经典可见和它们的算符对应的广义交换性条件，然后我们研究了这些条件在Kerr-NUT-(A)DS和相关空间中的实现。我们发现弱电磁场的最一般形式与粒子运动的完全可积性和场算符的互易性是相容的。对于这样的场，我们用分离变量的方法求解带电的Hamilton-Jacobi方程和Klein-Gordon方程。
We investigate properties of higher-dimensional generally rotating black-hole spacetimes, so called Kerr-NUT-(A)dS spacetimes, as well as a family of related spaces which share the same explicit and hidden symmetries. In these spaces, we study a particle motion in the presence of a weak electromagnetic field and compare it with its operator analogies. First, we find general commutativity conditions for classical observables and for their operator counterparts, then we investigate a fulfillment of these conditions in the Kerr-NUT-(A)dS and related spaces. We find the most general form of the weak electromagnetic field compatible with the complete integrability of the particle motion and the comutativity of the field operators. For such a field we solve the charged Hamilton-Jacobi and Klein-Gordon equations by separation of variables.