Decay of massive scalar hair in the background of a black hole with a global monopole

TL;DR

This paper analytically studies how massive scalar fields decay over time around a black hole with a global monopole, revealing that the global monopole influences intermediate decay but not the late-time tail behavior.

Contribution

It provides a detailed analysis of scalar field decay in a black hole with a global monopole, highlighting the impact of the monopole on decay rates at different times.

Findings

Faster decay of scalar fields in intermediate times due to the global monopole.

Late-time tail decay rate remains unchanged at t^{-5/6}.

Global monopole presence affects intermediate but not asymptotic decay behavior.

Abstract

The late-time tail behaviors of massive scalar fields are examined analytically in the background of a black hole with a global monopole. It is found that the presence of a solid deficit angle in the background metric makes the massive scalar fields decay faster in the intermediate times. However, the asymptotically late-time tail is not affected and it has the same decay rate of $t^{-5/6}$ as in the Schwarzschild and nearly extreme Reissner-Nordstr\"{o}m backgrounds.