Late-time evolution of Dirac field around Schwarzschild-quintessence black hole

TL;DR

This paper investigates how Dirac fields decay over time around Schwarzschild black holes influenced by quintessence, revealing slower decay rates and residual fields depending on the quintessence parameter.

Contribution

It provides the first numerical analysis of Dirac field late-time behavior in Schwarzschild-quintessence spacetimes, highlighting the impact of quintessence on decay rates and residual fields.

Findings

Dirac fields decay as power-law tails for certain quintessence parameters.

For a7<-1/3, Dirac fields relax to a non-zero residual field.

Residual field strength varies across different spacetime surfaces.

Abstract

The late-time evolution of Dirac field around spherically symmetric black hole surrounded by quintessece is studied numerically. Our results show, for lower values of the quintessence state parameter \epsilon, Dirac field decays as power-law tail but with a slower decay rate than the corresponding Schwarzschild case. But for \epsilon<-1/3, all the \ell-poles of the Dirac field give up the power-law decay form and relax to a constant residual field at asymptotically late times. The value of this residual field for which the field settles down varies on different surfaces. It has the lowest value on the black hole event horizon, increases as the radial distance increases and maximizes on the cosmological horizon.