Quasinormal modes of a charged spherical black hole with scalar hair for scalar and Dirac perturbations

TL;DR

This paper investigates the quasinormal modes of scalar and Dirac fields around a charged black hole with scalar hair, revealing how scalar hair influences damping behavior and mimics an Einstein-Rosen bridge.

Contribution

It provides the first detailed analysis of quasinormal modes in a charged black hole with scalar hair, highlighting effects of scalar hair on damping characteristics.

Findings

Damping exhibits complete monotonic behavior with charge in the scalar hair case.

Scalar hair causes damping behavior to differ from the Reissner-Nordström black hole.

Qualitative behavior remains similar despite the presence of scalar hair.

Abstract

The quasinormal modes of charged and uncharged massive scalar fields and also of charged Dirac fields against the background of a charged spherical black hole endowed with a scalar hair have been investigated. Special emphasis has been given to the case where negative scalar charge dominates over the electric charge of the black hole which mimics an Einstein-Rosen bridge. Except for the complete monotonic behaviour of the damping (imaginary part of the quasinormal mode) against the charge of the black hole as opposed to the existence of a peak for the pure RN case, the qualitative behaviour does not appreciably change due to the presence of scalar hair.