Late time tails of fields around Schwarzschild black hole surrounded by quintessence

TL;DR

This paper investigates how scalar, electromagnetic, and gravitational fields decay over time around a Schwarzschild black hole influenced by quintessence, revealing slower decay rates and residual fields depending on the quintessence parameter.

Contribution

It provides new insights into the late-time behavior of various fields around black holes with quintessence, highlighting the impact of the quintessence parameter on decay patterns.

Findings

Fields decay more slowly due to quintessence presence.

Scalar field residuals depend on the quintessence parameter.

Decay transitions from power-law to exponential as epsilon decreases.

Abstract

The evolution of scalar, electromagnetic and gravitational fields around spherically symmetric black hole surrounded by quintessence are studied with special interest on the late-time behavior. In the ring down stage of evolution, we find in the evolution picture that the fields decay more slowly due to the presence of quintessence. As the quintessence parameter \epsilon decreases, the decay of l=0 mode of scalar field gives up the power-law form of decay and relaxes to a constant residual field at asymptotically late times. The l>0 modes of scalar, electromagnetic and gravitational fields show a power-law decay for large values of \epsilon, but for smaller values of \epsilon they give way to an exponential decay.