Separability of Hamilton-Jacobi and Klein-Gordon Equations in General Kerr-NUT-AdS Spacetimes
Valeri P. Frolov, Pavel Krtous, David Kubiznak
TL;DR
This paper proves that the Hamilton-Jacobi and Klein-Gordon equations can be separated in general higher-dimensional Kerr-NUT-AdS spacetimes without parameter restrictions, facilitating analysis of particle and field dynamics.
Contribution
It establishes the general separability of key equations in Kerr-NUT-AdS spacetimes without imposing parameter restrictions, extending previous results.
Findings
Separable Hamilton-Jacobi equation in Kerr-NUT-AdS spacetimes
Separable Klein-Gordon equation in these spacetimes
No restrictions on metric parameters for separability
Abstract
We demonstrate the separability of the Hamilton-Jacobi and scalar field equations in general higher dimensional Kerr-NUT-AdS spacetimes. No restriction on the parameters characterizing these metrics is imposed.
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