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.

arXiv comment19 pages, 8 figures

References in corpus (60)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• f(R,T) gravity
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Black Hole Entropy is Noether Charge
• Phantom Energy and Cosmic Doomsday
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• 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
• Lorentz invariance with an invariant energy scale
• Generalization of the Fierz-Pauli Action
• Theoretical Aspects of Massive Gravity
• 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
• On Black Hole Entropy
• Gravity's Rainbow
• A classification of scalar field potentials with cosmological scaling solutions
• Quantum effects can render w<-1 on cosmological scales
• Massive Cosmologies
• Thermodynamics of Black Holes in Massive Gravity
• Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
• Test of special relativity using a fiber network of optical clocks
• Quintom models with an equation of state crossing -1
• Asymptotic charged BTZ black hole solutions
• Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality
• Bimetric gravity is cosmologically viable
• Severe constraints on Loop-Quantum-Gravity energy-momentum dispersion relation from black-hole area-entropy law
• P - V Criticality of Logarithmic Corrected Dyonic Charged AdS Black Hole
• Effects of Thermal Fluctuations on the Thermodynamics of Modified Hayward Black Hole
• Remnant for all Black Objects due to Gravity's Rainbow
• Nonsingular Rainbow Universes
• Precise Calculation of the Dilepton Invariant-Mass Spectrum and the Decay Rate in $B^{\pm }\to {\pi }^{\pm }{\mu }^{+}{\mu }^{-}$ in the SM
• Universe acceleration and nonlinear electrodynamics
• Massive charged BTZ black holes in asymptotically (a)dS spacetimes
• Thermodynamics of a Sufficient Small Singly Spinning Kerr-AdS Black Hole
• Dilaton black holes coupled to nonlinear electrodynamic field
• Charged BTZ black holes in the context of massive gravity's rainbow
• P-V criticality of first-order entropy corrected AdS black holes in massive gravity
• Fourth order Weyl gravity
• Exponential corrections to black hole entropy
• Thermodynamics of higher dimensional topological dilaton black holes with power-law Maxwell field
• Higher order corrections of the extended Chaplygin gas cosmology with varying $G$ and $\Lambda$
• Nonsingular Universes in Gauss-Bonnet Gravity's Rainbow
• Higher dimensional dilaton black holes in the presence of exponential nonlinear electrodynamics
• Nonsingular universe in massive gravity's rainbow
• Phase transitions and geothermodynamics of black holes in dRGT massive gravity
• BTZ black holes in massive gravity
• Dilaton black holes with power law electrodynamics
• Extended Chaplygin Gas in Horava-Lifshitz 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
• Dynamical analysis of generalised $f(R,\mathcal{L})$ theories
• Thermodynamics in $f(R,\mathcal{L})$ theories: Apparent horizon in the FLRW spacetime
• Three dimensional magnetic solutions in massive gravity with (non)linear field
• Gravity's rainbow: a bridge between LQC and DSR
• Time Dependent Geometry in Massive Gravity
• Cosmological perturbation and matter power spectrum in bimetric massive gravity

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