Massive Scalar Perturbations on Myers-Perry-de Sitter Black Holes with a Single Rotation

TL;DR

This paper analyzes the stability of higher-dimensional Myers-Perry-de Sitter black holes with a single rotation against scalar perturbations, calculating quasinormal modes and demonstrating their stability with increasing spin.

Contribution

It provides the first detailed calculation of quasinormal modes for singly rotating MP-dS black holes using multiple approximation methods and confirms their stability.

Findings

Scalar modes oscillate at higher frequencies with increased spin.

Perturbations decay faster as the spin parameter increases.

MP-dS black holes with a single rotation are stable under scalar perturbations.

Abstract

This study investigates the stability of higher-dimensional singly rotating Myers-Perry-de Sitter (MP-dS) black holes against scalar field perturbations. The phase spaces of MP-dS black holes with one spin parameter are discussed. Additionally, the quasinormal modes (QNMs) of MP-dS black holes are calculated via the asymptotic iteration method and sixth-order Wentzel-Kramers-Brillouin approximation. For near-extremal MP-dS black holes, the event horizon may be considerably close to the cosmological horizon. In such cases, the P\"oschl-Teller technique yields an accurate analytic formula for the QNMs. It is found that when the spin parameter of a black hole increases, the scalar perturbation modes oscillate at higher frequencies and decay faster. Furthermore, the MP-dS black hole with a single rotation is found to be stable under perturbation.