Quasinormal modes and second order thermodynamic phase transition for Reissner-Nordström black hole

Abstract

The relation between the quasinormal modes (QNMs) and the second order thermodynamic phase transition (SOTPT) for the Reissner-Nordström (RN) black hole is studied. It is shown that the quasinormal frequencies of the RN black hole start to get a spiral-like shape in the complex $\omega$ plane and both the real and imaginary parts become the oscillatory functions of the charge if the real part of the quasinormal frequencies arrives at its maximum at the second order phase transition point of Davies for given overtone number and angular quantum number. That is to say, we can find out the SOTPT point from the QNMs of the RN black hole. The fact shows that the quasinormal frequencies carry the thermodynamical information of the RN black hole.

10 pages, 5 figures

References in corpus (5)

• Bohr's Correspondence Principle and The Area Spectrum of Quantum Black Holes
• Quasinormal Modes, the Area Spectrum, and Black Hole Entropy
• Dirac Quasinormal modes of Schwarzschild black hole
• Quasinormal modes of nearly extreme Reissner-Nordstrom black holes
• On the Role of Chaos in the AdS/CFT Connection

Cited by in corpus (47)

• Quasinormal modes of black holes: from astrophysics to string theory
• Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes
• Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes
• Thermodynamics and Phase transition of the Reissner-Nordström Black Hole surrounded by quintessence
• Quasi-normal modes, bifurcations and non-uniqueness of charged scalar-tensor black holes
• Phase transition, Quasinormal modes and Hawking radiation of Schwarzschild black hole in Quintessence field
• Quasinormal modes in the background of charged Kaluza-Klein black hole with squashed horizons
• Probing the relationship between the null geodesics and thermodynamic phase transition for rotating Kerr-AdS black holes
• Phase transition and entropy spectrum of BTZ black hole in three-dimensional gravity with torsion
• Quasinormal modes of charged squashed Kaluza-Klein black holes in the Gödel Universe
• Quasinormal modes and thermodynamic phase transitions
• Quasinormal modes of a quantum-corrected Schwarzschild black hole: gravitational and Dirac perturbations
• Quasinormal modes, shadow and thermodynamics of black holes coupled with nonlinear electrodynamics and cloud of strings
• Null geodesics, quasinormal modes, and thermodynamic phase transition for charged black holes in asymptotically flat and dS spacetimes
• Thermal fluctuations, quasi-normal modes and phase transition of the charged AdS black hole with perfect fluid dark matter
• Black-hole solution in nonlinear electrodynamics with the maximum allowable symmetries
• Null geodesics, quasinormal modes and the correspondence with shadows in high-dimensional Einstein-Yang-Mills spacetimes
• Photon sphere and reentrant phase transition of charged Born-Infeld-AdS black holes
• Thermodynamics of Gauss-Bonnet black holes revisited
• Effects of Non-linear Electrodynamics on Thermodynamics of Charged Black Hole
• Quasinormal Modes and Thermodynamics of Regular Black Holes
• Photon orbits and phase transitions in Born-Infeld-dilaton black holes
• Photon orbits and phase transition for Non-Linear charged Anti-de Sitter black holes
• Stability and phase transition of rotating Kaluza-Klein black holes
• Black hole and cosmos with multiple horizons and multiple singularities in vector-tensor theories
• Ayón--Beato--García black hole coupled with a cloud of strings: thermodynamics, shadows and quasinormal modes
• Optical features of AdS black holes in the novel 4D Einstein-Gauss-Bonnet gravity coupled to nonlinear electrodynamics
• Quasinormal modes and the correspondence with shadow in black holes with a deficit solid angle and quintessence-like matter
• Quasinormal modes of a nonsingular spherically symmetric black hole effective model with holonomy corrections
• Bounce corrections to gravitational lensing, quasinormal spectral stability and gray-body factors of Reissner-Nordström black holes
• A Note on Circular Geodesics and Phase Transitions of Black Holes
• A consistent and unified picture for critical phenomena of $f(R)$ AdS black holes
• Discontinuities in Scalar Perturbations of Topological Black Holes
• On black holes with scalar hairs
• The correspondence between shadow and test field in a four-dimensional charged Einstein-Gauss-Bonnet black hole
• Wave dynamics of phantom scalar perturbation in the background of Schwarzschild black hole
• Signal of phase transition hidden in quasinormal modes of regular AdS black holes
• Deciphering black hole phase transitions through photon spheres
• Quasinormal modes of a charged loop quantum black hole
• Probing phase transitions of regular black holes in anti-de Sitter space with Lyapunov exponent
• Quansinormal modes of static and spherically symmetric black holes with the derivative coupling
• Dynamical evolution of electromagnetic perturbation in the background of a scalar hairy black hole in Horndeski theory
• Physical reinterpretation of heat capacity discontinuities for static black holes
• Phase diagrams of quasinormal frequencies for Schwarzschild, Kerr, and Taub-NUT black holes
• Imprints of Topological Thermodynamics on Black Hole Dynamics
• Comparison of Quasinormal Modes of Black Holes in $f(\mathbb{T})$ and $f(\mathbb{Q})$ Gravity
• Thermodynamic Phase Transitions and Quantum Entropy Corrections in the Simpson-Visser Regular Black Hole