Wave dynamics of phantom scalar perturbation in the background of Schwarzschild black hole

TL;DR

This paper studies how phantom scalar fields behave around Schwarzschild black holes, revealing that negative kinetic energy alters quasinormal modes and causes exponential growth in late-time perturbations.

Contribution

It introduces analysis of phantom scalar perturbations using Leaver's method, highlighting modifications in quasinormal spectra and late-time growth due to negative kinetic energy.

Findings

Negative kinetic energy modifies quasinormal spectra

Late-time perturbations grow exponentially

Standard results are significantly altered

Abstract

Using Leaver's continue fraction and time domain method, we investigate the wave dynamics of phantom scalar perturbation in the background of Schwarzschild black hole. We find that the presence of the negative kinetic energy terms modifies the standard results in quasinormal spectrums and late-time behaviors of the scalar perturbations. The phantom scalar perturbation in the late-time evolution will grow with an exponential rate.