# Scalar perturbation of the higher-dimensional rotating black holes

@article{Ida2003ScalarPO, title={Scalar perturbation of the higher-dimensional rotating black holes}, author={Daisuke Ida and Yuki Uchida and Yoshiyuki Morisawa}, journal={Physical Review D}, year={2003}, volume={67}, pages={084019} }

The massless scalar field in the higher-dimensional Kerr black hole (Myers- Perry solution with a single rotation axis) has been investigated. It has been shown that the field equation is separable in arbitrary dimensions. The quasi-normal modes of the scalar field have been searched in five dimensions using the continued fraction method. The numerical result shows the evidence for the stability of the scalar perturbation of the five-dimensional Kerr black holes. The time scale of the resonant…

## 39 Citations

Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations

- Physics
- 2006

Assessing the stability of higher-dimensional rotating black holes requires a study of linearized gravitational perturbations around such backgrounds. We study perturbations of Myers-Perry black…

J un 2 00 6 Gravitational Perturbations of Higher Dimensional Rotating Black Holes

- Physics
- 2008

Assessing the stability of higher-dimensional rotating black holes requires a study of linearized gravitational perturbations around such backgrounds. We study perturbations of Myers-Perry black…

Klein-Gordon Field in the Rotating Black Branes Wrapped on Einstein Spaces

- Mathematics, Physics
- 2003

We show that the equation of motion for a massive scalar field coupled to the scalar curvature is separable in the n-dimensional metric with one rotation parameter (n > 4) found by Klemm, which…

Ju n 20 06 Gravitational Perturbations of Higher Dimensional Rotating Black Holes

- Physics
- 2009

Assessing the stability of higher-dimensional rotating black holes requires a study of linearized gravitational perturbations around such backgrounds. We study perturbations of Myers-Perry black…

Radiation spectrum of a high-dimensional rotating black hole

- Physics
- 2010

This study extends the classical Damour-Ruffini method and discusses Hawking radiation in a (n + 4)-dimensional rotating black hole. Under the condition that the total energy and angular momentum of…

Massive scalar perturbations on Myers-Perry–de Sitter black holes with a single rotation

- Physics
- 2020

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…

Bulk Decay of (4 + n)-Dimensional Simply Rotating Black Holes: Tensor-Type Gravitons

- Physics
- 2011

We study the emission in the bulk of tensor-type gravitons by a simply rotating (4 + n)-dimensional black hole. The decoupling of the radial and angular part of the graviton field equation makes it…

Scalar perturbations of higher dimensional rotating and ultraspinning black holes

- Physics
- 2005

We investigate the stability of higher dimensional rotating black holes against scalar perturbations. In particular, we make a thorough numerical and analytical analysis of six dimensional black…

The fastest relaxation rate of higher-dimensional Reissner–Nordström black hole

- PhysicsPhysics Letters B
- 2019

Instability of ultra-spinning black holes

- Physics
- 2003

It has long been known that, in higher-dimensional general relativity, there are black hole solutions with an arbitrarily large angular momentum for a fixed mass [1]. We examine the geometry of the…

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