Asymptotic power-law tails of massive scalar fields in Reissner-Nordstr\"{o}m background

TL;DR

This paper analyzes the late-time decay behavior of massive scalar fields in nearly extreme Reissner-Nordström spacetime, revealing a universal oscillatory tail decay rate of t^{-5/6} linked to spacetime curvature effects.

Contribution

It demonstrates the dominant late-time tail decay rate of massive scalar fields in this background and explains the physical mechanism behind this decay.

Findings

The scalar field tail decays as t^{-5/6} at late times.

The decay is caused by resonance backscattering due to spacetime curvature.

The relation between field mass and tail dominance time is discussed.

Abstract

We investigate dominant late-time tail behaviors of massive scalar fields in nearly extreme Reissner-Nordstr\"{o}m background. It is shown that the oscillatory tail of the scalar fields has the decay rate of $t^{-5/6}$ at asymptotically late times. The physical mechanism by which the asymptotic $t^{-5/6}$ tail yields and the relation between the field mass and the time scale when the tail begins to dominate, are discussed in terms of resonance backscattering due to spacetime curvature.