# Quasinormal Modes of Massive Scalar Field with Nonminimal Coupling in Higher-Dimensional de Sitter Black Hole with Single Rotation

## TL;DR

This paper analytically derives the quasinormal modes of a massive scalar field with nonminimal coupling in higher-dimensional de Sitter black holes with rotation, revealing universal frequency behavior near extremality.

## Contribution

It provides the first analytical derivation of quasinormal modes in this specific higher-dimensional rotating de Sitter black hole context, including the universal form of frequencies.

## Key findings

- Quasinormal frequencies are obtained analytically under near-extremal conditions.
- The real part of the frequency depends on the scalar field properties.
- The imaginary part depends solely on the surface gravity at the outer horizon.

## Abstract

We analytically investigate the quasinormal modes of the massive scalar field with a nonminimal coupling in the higher-dimensional de Sitter black hole with a single rotation. According to the separated scalar field equation, the boundary conditions of quasinormal modes are well constructed at the outer and cosmological horizons. Then, under near-extremal conditions, where the outer horizon closes to the cosmological horizon, the quasinormal frequencies are obtained and generalized to universal form in the higher-dimensional spacetime. Here, the real part of the frequency includes the scalar field contents, and its imaginary part only depends on the surface gravity at the outer horizon of the black hole.