# Black Hole Solutions Surrounded by Perfect Fluid in Rastall Theory

## TL;DR

This paper introduces new black hole solutions surrounded by perfect fluid in Rastall theory, compares them with GR solutions, and explores how different matter types influence their characteristics.

## Contribution

It presents uncharged and charged Kiselev-like black hole solutions in Rastall theory and analyzes their properties with various surrounding matter fields.

## Key findings

- Effective perfect fluid behavior observed in Rastall black holes.
- Regular matter in Rastall theory can mimic exotic matter in GR.
- Exotic matter in Rastall theory can resemble regular matter in GR.

## Abstract

In this work, we obtain uncharged\charged Kiselev-like black holes as a new class of black hole solutions surrounded by perfect fluid in the context of Rastall theory. Then, we study the specific cases of the uncharged\charged black holes surrounded by regular matter like dust and radiation, or exotic matter like quintessence, cosmological constant and phantom fields. By comparing the Kiselev-like black hole solutions in Rastall theory with the Kiselev black hole solutions in GR, we find an effective perfect fluid behaviour for the black hole's surrounding field. It is shown that the corresponding effective perfect fluid has interesting characteristic features depending on the different ranges of the parameters in Rastall theory. For instance, Kiselev-like black holes surrounded by regular matter in Rastall theory may be considered as Kiselev black holes surrounded by exotic matter in GR, or Kiselev-like black holes surrounded by exotic matter in Rastall theory may be considered as Kiselev black holes surrounded by regular matter in GR.