Decay of Dirac Massive Hair in the Background of Spherical Black Hole

TL;DR

This paper investigates how massive Dirac fields decay over time around spherical black holes, revealing dependencies on field mass and mode number, and identifying a slow decay tail at late times.

Contribution

It provides a detailed analysis of the decay patterns of massive Dirac hair in black hole backgrounds, highlighting the influence of mass and mode number on intermediate decay and characterizing the late-time tail behavior.

Findings

Decay pattern depends on field mass and mode number

Long-lived oscillatory tail decays as t^{-5/6}

Intermediate decay influenced by field parameters

Abstract

The intermediate and late-time behaviour of massive Dirac hair in the static spherically symmetric black hole spacetime was studied. It was revealed that the intermediate asymptotic pattern of decay of massive Dirac spinor hair is dependent on the mass of the field under consideration as well as the multiple number of the wave mode. The long-lived oscillatory tail observed at timelike infinity in the considered background decays slowly as t^{-5/6}.