Instability and phase transitions of a rotating black hole in the presence of perfect fluid dark matter

Azadeh Nemati; Kai Lin; Mubasher Jamil; Seyed Hossein Hendi

Instability and phase transitions of a rotating black hole in the presence of perfect fluid dark matter

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arxiv 2001.01591 v2 pith:5MX4OESP submitted 2020-01-02 gr-qc hep-th

Seyed Hossein Hendi , Azadeh Nemati , Kai Lin , Mubasher Jamil This is my paper · ORCID

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keywords blackdarkholematterfluidperfectorderphase

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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.

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