Quasinormal modes of massive scalar fields in five-dimensional Myers-Perry black holes with two arbitrary rotation parameters

TL;DR

This paper numerically analyzes the quasinormal modes of massive scalar fields in five-dimensional Myers-Perry black holes with two rotation parameters, revealing decay modes, effects of rotation and mass, and long-living modes for large scalar mass.

Contribution

It provides the first detailed numerical computation of scalar quasinormal modes in five-dimensional Myers-Perry black holes with two arbitrary rotation parameters, including effects of scalar mass and rotation.

Findings

All modes decay with negative imaginary parts.

Rotation parameters and scalar mass influence mode frequencies.

Large scalar mass leads to long-living scalar modes.

Abstract

We investigate the quasinormal modes of massive scalar fields in the background of five-dimensional Myers-Perry black holes. In particular, we explore the case for Myers-Perry black holes with two arbitrary rotation parameters. Since the Klein-Gordon equation for the scalar field is separable, we numerically compute the scalar quasinormal modes by using the radial and angular equations. Two methods, the continued fraction method and matrix method, are used in the numerical calculation. We find that all obtained modes have negative imaginary parts and are decaying modes. We also consider the impact of the rotation parameters, scalar field mass $\mu$ and azimuthal numbers on the scalar quasinormal modes. Besides, when the scalar mass $\mu$ becomes relatively large, we also find the long-living scalar modes. Our numerical results also demonstrate the symmetries of the QNMs explicitly.