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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

classification gr-qchep-th
keywords blackdarkholematterfluidperfectorderphase
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Chaotic imprints of dark matter in extreme mass-ratio inspirals

    gr-qc 2026-02 reject novelty 4.0 of 10

    A toy model shows that adding a hand-made angle-dependent force to dark-matter spacetimes produces visual chaos and irregular numerical-Kludge waveforms, but the force is not a realistic dark-matter perturbation.

  2. Astrophysical properties of static black holes embedded in a Dehnen type dark matter halo with the presence of quintessential field

    gr-qc 2025-01 conditional novelty 4.0 of 10

    Adding a Dehnen-type dark matter halo and a quintessence field to a Schwarzschild black hole enlarges its shadow and lowers the frequency and damping rate of its quasinormal modes.

  3. Quasinormal modes and shadow of Schwarzschild black holes embedded in a Dehnen type dark matter halo exhibiting string cloud

    gr-qc 2024-12 reject novelty 3.0 of 10

    Adding a Dehnen dark matter halo and string cloud to a Schwarzschild black hole makes its shadow larger, but the paper's quasinormal-mode frequencies rest on a misstated perturbation potential.

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