Formation of Bound States in Quintessence Alternative Theories

TL;DR

This paper investigates how quintessence matter affects black hole properties, including bound state formation, radiation, and lifespan, revealing that quintessence significantly alters black hole thermodynamics and stability.

Contribution

It introduces a detailed analysis of bound states around black holes influenced by quintessence, highlighting the impact on Hawking radiation and black hole longevity.

Findings

Large black holes radiate less and live longer with quintessence.

Small black holes radiate more compared to models without quintessence.

Bound states form at high quintessence parameters or angular momentum.

Abstract

We study the formation and behaviour of bound states formed outside the horizon of a black hole in the presence of quintessence matter. Calculating the Regge and Wheeler potential for general metric function, we find that the presence of quintessence influences significantly the metric function and the Hawking temperature. We show that large black holes radiate less in the presence of quintessence matter and it seems to live longer, while small black holes radiate more in comparison with the model in the absence of quintessence. Bound states emerge at large enough quintessence parameter $|w|$ or angular momentum.