Remarks on the effects of the quintessence on regular black holes

TL;DR

This paper generalizes regular black hole solutions with quintessence, compares them with existing models, and clarifies the correct implementation of quintessence, revealing effects like loss of regularity at the origin.

Contribution

It introduces a consistent method to incorporate quintessence into regular black holes and critiques previous inconsistent approaches in the literature.

Findings

Some models are inconsistent due to ad hoc quintessence addition.

Proper implementation of quintessence can remove regularity at the origin.

The paper provides a unified framework for regular black holes with quintessence.

Abstract

We present the generalization of a regular black hole surrounded by quintessence, considering Bardeen-like solutions added with this fluid. We also compare our solution particularized to the Bardeen one with those found in the recent literature, showing that some of them are inconsistent since they add quintessence "by hand", neglecting also the interesting behavior of the complete solution nearby the origin. Then, we present the correct way to implement the quintessential fluid in more general four-dimensional regular black hole geometries and explore some of its consequences, such as removing the black hole regularity at the origin.