Asymptotic tails of massive scalar fields in a stationary axisymmetric EMDA black hole geometry

TL;DR

This paper analytically investigates the late-time tail behavior of massive scalar fields in a stationary axisymmetric EMDA black hole, revealing oscillatory inverse power-law decay patterns at different late-time regimes.

Contribution

It provides the first analytical characterization of the asymptotic tail behavior of massive scalar fields in EMDA black hole geometry, highlighting potential universality in rotating black hole backgrounds.

Findings

Intermediate tails decay as t^{-(l+3/2)} with oscillations

Asymptotic tails decay as t^{-5/6} with oscillations

Results suggest universal tail features in rotating black hole spacetimes

Abstract

The late-time tail behavior of massive scalar fields is studied analytically in a stationary axisymmetric EMDA black hole geometry. It is shown that the asymptotic behavior of massive perturbations is dominated by the oscillatory inverse power-law decaying tail $ t^{-(l+3/2)}\sin(\mu t)$ at the intermediate late times, and by the asymptotic tail $ t^{-5/6}\sin(\mu t)$ at asymptotically late times. Our result seems to suggest that the intermediate tails $ t^{-(l+3/2)}\sin(\mu t)$ and the asymptotically tails $t^{-5/6} \sin(\mu t)$ may be quite general features for evolution of massive scalar fields in any four dimensional asymptotically flat rotating black hole backgrounds.