Thermal fluctuations, quasi-normal modes and phase transition of the charged AdS black hole with perfect fluid dark matter

• Published in: The European physical journal. C, Particles and fields Vol. 83; no. 5; pp. 407 - 18
• Main Authors: Abbas, G., Ali, R. H.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2023; Springer; Springer Nature B.V; SpringerOpen
• Subjects: Advertising executives; Angular velocity; Astronomy; Astrophysics and Cosmology; Black holes; Dark matter; Dark matter (Astronomy); Elementary Particles; Enthalpy; Entropy; Geodesy; Gibbs free energy; Hadrons; Heavy Ions; Liapunov exponents; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Parameters; Phase transitions; Photons; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; Specific heat; String Theory; Thermodynamics
• ISSN: 1434-6052; 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-023-11580-1

In this paper, we study thermodynamics, thermal fluctuations, phase transitions and the charged anti-de Sitter black hole surrounded by perfect fluid dark matter. Large black holes are shown to be stable when subject to thermal fluctuations, and we begin by exploring how these fluctuations affect the uncorrected thermodynamic quantities of entropy, Helmholtz free energy, Gibbs free energy, enthalpy specific heat, and phase transition stability. We also discuss null geodesics and the radius of the photon sphere for the charged AdS BH and use the radius of a photon sphere to calculate the Lyapunov exponent and angular velocity. Exceptionally, we test the effects of various parameters of a black hole graphically by observing the existence of the correction parameter and the coupling parameter, which reveal the behavior of corrected thermodynamic quantities. Lastly, we see how the system is stable (under the effects of the dark matter parameter) by figuring out the specific heat and Hawking temperature, which are both related to entropy.