Massive Scalar Perturbations on Myers-Perry-de Sitter Black Holes with a Single Rotation
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.
Keywords
Cite
@article{arxiv.2007.16108,
title = {Massive Scalar Perturbations on Myers-Perry-de Sitter Black Holes with a Single Rotation},
author = {Supakchai Ponglertsakul and Bogeun Gwak},
journal= {arXiv preprint arXiv:2007.16108},
year = {2020}
}
Comments
33 pages, 17 figures