Decay of massive hair on brane black hole

TL;DR

This paper analytically investigates how massive scalar fields decay over time around static spherically symmetric brane black holes, revealing different behaviors at intermediate and late times.

Contribution

It provides a detailed analysis of scalar field decay in brane black hole backgrounds, highlighting the dependence on mass and angular momentum at intermediate times and independence at late times.

Findings

Intermediate decay depends on field mass and angular momentum.

Late-time decay follows a universal power-law independent of mass and angular momentum.

The decay rates differ between intermediate and late-time regimes.

Abstract

We study analytically the intermediate and late-time behaviour of the massive scalar field in the background of static spherically symmetric brane black hole solutions. The intermediate behavoiur of the scalar field reveals the dependence on the field's parameter mass as well as the multiple moment l, while the late-time behaviour has the power-law decay rate independent of those factors.