Quasinormal Modes and Thermodynamics of Linearly Charged BTZ Black holes in Massive Gravity in (Anti)de Sitter Space Time

Abstract

In this work we study the Quasi Normal Modes(QNMs) under massless scalar perturbations and the thermodynamics of linearly charged BTZ black holes in massive gravity in the (Anti)de Sitter((A)dS) space time. It is found that the behavior of QNMs changes with the massive parameter and also with the charge of the black hole. The thermodynamics of such black holes in the (A)dS space time is also analyzed in detail. The behavior of specific heat with temperature for such black holes gives an indication of a phase transition that depends on the massive parameter and also on the charge of the black hole.

arXiv commentPrepared for submitting to EPJ

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• Holographic complexity and action growth in massive gravities
• Probing the relationship between the null geodesics and thermodynamic phase transition for rotating Kerr-AdS black holes
• Quasinormal spectrum of $(2+1)$-dimensional asymptotically flat, dS and AdS black holes
• Photon sphere and reentrant phase transition of charged Born-Infeld-AdS 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 Analysis of Geodesics and Quasinormal Modes of a Dual Stringy Black Hole Via Lyapunov Exponents
• Photon sphere and phase transition of $d$-dimensional ($d\ge 5$) charged Gauss-Bonnet AdS black holes
• Quasinormal Modes and Van der Waals like phase transition of charged AdS black holes in Lorentz symmetry breaking massive gravity
• Deciphering black hole phase transitions through photon spheres
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• Tunneling of Hawking radiation for BTZ black hole revisited
• Quasinormal modes of anyons
• Photon orbits and phase transition for gravitational decoupled Kerr anti-de Sitter black holes
• Spectral Bifurcations in Quasinormal Modes of Regular BTZ Black Holes
• Stability analysis of circular orbits around a charged BTZ black hole spacetime in a nonlinear electrodynamics model via Lyapunov exponents