Late-time evolution of a self-interacting scalar field in the spacetime of dilaton black hole

TL;DR

This paper studies how massive self-interacting scalar fields decay over time around dilaton black holes, revealing oscillatory tails and slower decay rates at very late times through numerical simulations.

Contribution

It provides new insights into the late-time decay behavior of self-interacting scalar fields in dilaton black hole spacetimes, highlighting the impact of self-interaction on decay rates.

Findings

Oscillatory inverse power-law decay at intermediate times

Slower decay than any power law at very late times

Numerical confirmation of decay behaviors

Abstract

We investigate the late-time tails of self-interacting (massive) scalar fields in the spacetime of dilaton black hole. Following the no hair theorem we examine the mechanism by which self-interacting scalar hair decay. We revealed that the intermediate asymptotic behavior of the considered field perturbations is dominated by an oscillatory inverse power-law decaying tail. The numerical simulations showed that at the very late-time massive self-interacting scalar hair decayed slower than any power law.