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.

Prepared for submitting to EPJ

References in corpus (9)

• Resummation of Massive Gravity
• Thermodynamics of Black Holes in Massive Gravity
• P-V criticality in the extended phase space of black holes in massive gravity
• Holography without translational symmetry
• F(R) gravity's rainbow and its Einstein counterpart
• Microscopic entropy of the charged BTZ black hole
• Black Hole Thermodynamics and Massive Gravity
• Thermodynamics and Thermodynamic geometry of Park black hole
• The entropy formula of black holes in Minimal Massive Gravity and its application for BTZ black holes

Cited by in corpus (10)

• Quasinormal spectrum of $(2+1)$-dimensional asymptotically flat, dS and AdS 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
• Deciphering black hole phase transitions through photon spheres
• Quasinormal modes of charged BTZ black holes
• 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