Evolution of arbitrary spin fields in the Schwarzschild-monopole spacetime

TL;DR

This paper investigates the quasinormal modes and late-time decay of arbitrary spin fields in a Schwarzschild black hole spacetime with a global monopole, revealing how the monopole parameter influences these phenomena.

Contribution

It provides a detailed analysis of how the global monopole parameter affects quasinormal modes and late-time tails of arbitrary spin fields in Schwarzschild-monopole spacetime, a novel extension of previous studies.

Findings

Real part of QNMs decreases with increasing monopole parameter H.

Imaginary part of QNMs increases with H, and QNMs become evenly spaced for large overtone number n.

Late-time decay follows an inverse power-law tail dependent on H, reducing to the Schwarzschild case when H approaches zero.

Abstract

The quasinormal modes (QNMs) and the late-time behavior of arbitrary spin fields are studied in the background of a Schwarzschild black hole with a global monopole (SBHGM). It has been shown that the real part of the QNMs for a SBHGM decreases as the symmetry breaking scale parameter $H$ increases but imaginary part increases instead. For large overtone number $n$, these QNMs become evenly spaced and the spacing for the imaginary part equals to $-i(1-H)^{3/2}/(4M)$ which is dependent of $H$ but independent of the quantum number $l$. It is surprisingly found that the late-time behavior is dominated by an inverse power-law tail $t^{-2[1+\sqrt{(s+1/2)^{2}+ (l-s)(l+s+1)/(1-H)}]}$ for each $l$, and as $H\to0$ it reduces to the Schwarzschild case $t^{-(2l+3)}$ which is independent of the spin number $s$.