Angular Eigenvalues of Higher-Dimensional Kerr-(A)dS Black Holes with Two Rotations

TL;DR

This paper derives the general metric for higher-dimensional Kerr-(A)dS black holes with two rotations and develops perturbative methods to compute angular eigenvalues, advancing understanding of black hole properties in higher dimensions.

Contribution

It provides the explicit metric and perturbative expansion techniques for angular eigenvalues in higher-dimensional Kerr-(A)dS black holes with two rotations, extending previous work.

Findings

Explicit metric for Kerr-(A)dS black holes with two rotations

Perturbative expansions of angular eigenvalues in powers of rotation parameters

Applicable for dimensions D ≥ 6

Abstract

In this paper, following the work of Chen, L\"u and Pope, we present the general metric for Kerr-(A)dS black holes with two rotations. The corresponding Klein-Gordon equation is separated explicitly, from which we develop perturbative expansions for the angular eigenvalues in powers of the rotation parameters with $D\geq 6$.