The Decay of Dirac Hair around a Dilaton Black Hole

TL;DR

This paper studies how massive Dirac fields decay over time around static spherically symmetric black holes, revealing that late-time decay follows a universal power law regardless of the field's mass or mode.

Contribution

It provides new insights into the decay patterns of Dirac fields in black hole backgrounds, highlighting the universal late-time decay rate independent of field parameters.

Findings

Intermediate decay depends on mass and wave number.

Late-time decay follows a universal power law.

Decay rates are independent of field mass and mode at late times.

Abstract

The intermediate and late-time behaviour of a massive Dirac field in the background of static spherically symmetric black hole solutions is investigated. The intermediate asymptotic behaviour of a massive Dirac field depends on the mass parameter as well as the wave number of the mode, while the late time behaviour has a power law decay rate independent of both.