Quantum corrected thermodynamics of nonlinearly charged BTZ black holes in massive gravity's rainbow

Abstract

In this paper, we consider three-dimensional massive gravity's rainbow and obtain black hole solutions in three different cases of Born-Infeld, logarithmic, and exponential theories of nonlinear electrodynamics. We discuss the horizon structure and geometrical properties. Then, we study thermodynamics of these models by considering the first-order quantum correction effects, which appears as a logarithmic term in the black hole entropy. We discuss such effects on the black hole stability and phase transitions. We find that, due to the quantum corrections, the second-order phase transition happens in Born-Infeld and logarithmic models. We obtain the modified first law of black hole thermodynamics in the presence of logarithmic corrections.

19 pages, 8 figures

References in corpus (20)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• f(R,T) gravity
• Resummation of Massive Gravity
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Improved Dark Energy Constraints from ~100 New CfA Supernova Type Ia Light Curves
• Thermodynamics of Black Holes in Massive Gravity
• Asymptotic charged BTZ black hole solutions
• Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality
• Bimetric gravity is cosmologically viable
• Remnant for all Black Objects due to Gravity's Rainbow
• Thermodynamics of a Sufficient Small Singly Spinning Kerr-AdS Black Hole
• Dilaton black holes coupled to nonlinear electrodynamic field
• Fourth order Weyl gravity
• Exponential corrections to black hole entropy
• Thermodynamics of higher dimensional topological dilaton black holes with power-law Maxwell field
• Higher dimensional dilaton black holes in the presence of exponential nonlinear electrodynamics
• Phase transitions and geothermodynamics of black holes in dRGT massive gravity
• Non-Pertubative Quantum Corrections to a Born-Infeld Black Hole and its Information Geometry
• The lower bound violation of shear viscosity to entropy ratio due to logarithmic correction in STU model

Cited by in corpus (7)

• Quasinormal Modes and GUP-Corrected Hawking Radiation of BTZ Black Holes within Modified Gravity Frameworks
• Exponential corrected thermodynamics of Born-Infeld BTZ black holes in massive gravity
• Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow
• Thermodynamics and Shadows of quantum-corrected Reissner-Nordström black hole surrounded by quintessence
• Thermodynamics of Einstein-Euler-Heisenberg Black Holes with Thermal Fluctuations and Nonlinear Electromagnetic Fields
• Three-dimensional energy-dependent $C$-metric: black hole solutions
• Strong gravitational lensing by black hole in F(R) Euler Heisenberg Gravity's Rainbow