Massive scalar field quasinormal modes of a Schwarzschild black hole surrounded by quintessence

TL;DR

This paper investigates how a massive scalar field's quasinormal modes behave around a Schwarzschild black hole influenced by quintessence, revealing that mass and quintessence slow damping and increase frequencies.

Contribution

It provides the first detailed analysis of massive scalar quasinormal modes in a Schwarzschild black hole with quintessence using third-order WKB approximation.

Findings

Real part of frequencies increases linearly with scalar mass.

Imaginary part decreases, indicating slower damping with higher mass.

Quintessence presence further slows the damping process.

Abstract

We present the quasinormal frequencies of the massive scalar field in the background of a Schwarzchild black hole surrounded by quintessence with the third-order WKB method. The mass of the scalar field $u$ plays an important role in studying the quasinormal frequencies, the real part of the frequencies increases linearly as mass $u$ increases, while the imaginary part in absolute value decreases linearly which leads to damping more slowly and the frequencies having a limited value. Moreover, owing to the presence of the quintessence, the massive scalar field damps more slowly.