Decay of massive scalar hair in the background of a dilaton gravity black hole

TL;DR

This paper analytically studies how massive scalar fields decay over time around dilaton gravity black holes, revealing that late-time decay follows a universal power law independent of the coupling constant.

Contribution

It provides a detailed analytical analysis of scalar field decay in dilaton gravity black holes, highlighting the dependence on mass and angular momentum, and identifying a universal late-time decay rate.

Findings

Intermediate decay depends on scalar mass and angular momentum.

Late-time decay follows a universal power law, independent of coupling constant.

Decay rates are characterized analytically for different regimes.

Abstract

We invesigate analytically both the intermediate and late-time behaviour of the massive scalar field in the background of static spherically symmetric black hole solution in dilaton gravity with arbitrary coupling constant. The intermediate asymptotic behaviour of scalar field depends on the field's parameter mass as well as the multiple number l. On its turn, the late-time behaviour has the power law decay rate independent on coupling constant in the theory under consideration.