Decay of Massive Dirac Hair on a Brane-World Black Hole

TL;DR

This paper studies how massive Dirac fields decay over time around brane-world black holes, revealing that early decay depends on mass and mode number, while late decay follows a universal power law.

Contribution

It provides a detailed analysis of the decay patterns of massive Dirac fields in brane-world black hole backgrounds, highlighting the dependence on parameters and the universal late-time decay rate.

Findings

Intermediate decay depends on mass and mode number.

Late-time decay follows a universal power law.

Decay rates differ between intermediate and late times.

Abstract

We investigate the intermediate and late-time behaviour of the massive Dirac spinor field in the background of static spherically symmetric brane-world black hole solutions. The intermediate asymptotic behaviour of the massive spinor field exhibits a dependence on the field's parameter mass as well as the multiple number of the wave mode. On the other hand, the late-time behaviour power law decay has a rate which is independent of those factors.