https://doi.org/10.1140/epjc/s10052-020-7829-6
Regular Article - Theoretical Physics
Instability and phase transitions of a rotating black hole in the presence of perfect fluid dark matter
1
Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz, 71454, Iran
2
Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan, 430074, Hubei, China
3
Institute for Theoretical Physics and Cosmology, Zhejiang University of Technology, Hangzhou, 310023, China
4
United Centre for Gravitational Wave Research, Zhejiang University of Technology, Hangzhou, 310023, China
5
School of Natural Sciences, National University of Sciences and Technology, H-12, Islamabad, 44000, Pakistan
* e-mail: mjamil@zjut.edu.cn
Received:
9
December
2019
Accepted:
11
March
2020
Published online:
1
April
2020
In this paper, we study the thermodynamic features of a rotating black hole surrounded by perfect fluid dark matter. We analyze the critical behavior of the black hole by considering the known relationship between pressure and cosmological constant. We show that the black hole admits a first order phase transition and, both rotation and perfect fluid dark matter parameters have a significant impact on the critical quantities. We also introduce a new ad hoc pressure related to the perfect fluid dark matter and find a first order van der Waals like phase transition. In addition, using the sixth order WKB method, we investigate the massless scalar quasinormal modes (QNMs) for the static spherically symmetric black hole surrounded by dark matter. Using the finite difference scheme, the dynamical evolution of the QNMs is also discussed for different values of angular momentum and overtone parameters.
© The Author(s), 2020
