Evolution of a Self-interacting Scalar Field in the spacetime of a Higher Dimensional Black Hole

TL;DR

This paper investigates how a self-interacting scalar field evolves and decays around higher-dimensional charged black holes, revealing oscillatory decay patterns confirmed through numerical simulations.

Contribution

It provides a detailed analysis of scalar hair decay in higher-dimensional black hole spacetimes, highlighting the oscillatory inverse power law behavior and supporting findings with numerical evidence.

Findings

Scalar hair exhibits oscillatory inverse power law decay.

Numerical calculations confirm analytical predictions.

Decay behavior depends on the dimensionality of spacetime.

Abstract

In the spacetime of n-dimensional static charged black hole we examine the mechanism by which the self-interacting scalar hair decay. It is turned out that the intermediate asymptotic behaviour of the self-interacting scalar field is determined by an oscilatory inverse power law. We confirm our results by numerical calculations.