Exponential corrected thermodynamics of Born-Infeld BTZ black holes in massive gravity

Abstract

It is known that entropy of black hole gets correction at quantum level. Universally, these corrections are logarithmic and exponential in nature. We analyze the impacts of these quantum corrections on thermodynamics of Born-Infeld BTZ black hole in massive gravity by considering both such kinds of correction. We do comparative analysis of corrected thermodynamics with their equilibrium values. Here, we find that the exponential correction yields to the second point of the first order phase transition. Also, quantum correction effects significantly on the Helmholtz free energy of larger black holes. We study the equation of state for the exponential corrected black hole to obtain a leading order virial expansion.

arXiv comment16 pages, 4 figures

References in corpus (36)

• The Black Hole in Three Dimensional Space Time
• 4D Gravity on a Brane in 5D Minkowski Space
• Theoretical Aspects of Massive Gravity
• Cosmology on a Brane in Minkowski Bulk
• Thermodynamics of Black Holes in Massive Gravity
• Asymptotic charged BTZ black hole solutions
• Einstein-Born-Infeld-Massive Gravity: adS-Black Hole Solutions and their Thermodynamical properties
• Thermal Fluctuations in a Charged AdS Black Hole
• Spinning charged BTZ black holes and self-dual particle-like solutions
• Effects of Thermal Fluctuations on the Thermodynamics of Modified Hayward Black Hole
• Deflection angle of photon from magnetized black hole and effect of nonlinear electrodynamics
• Massive charged BTZ black holes in asymptotically (a)dS spacetimes
• Geodesic Structure of the 2 + 1 Black Hole
• Charged BTZ black holes in the context of massive gravity's rainbow
• Exponential corrections to black hole entropy
• Effect of the dilaton field and plasma medium on deflection angle by black holes in Einstein-Maxwell-dilaton-axion theory
• Neutron stars structure in the context of massive gravity
• Gravitational lensing by wormholes supported by electromagnetic, scalar, and quantum effects
• Quantum Fluctuations of a BTZ Black Hole in Massive Gravity
• Quantum corrections to thermodynamics of quasitopological black holes
• Leading-order corrections to charged rotating AdS black holes thermodynamics
• Perturbed thermodynamics of charged black hole solution in Rastall theory
• BTZ black holes in massive gravity
• Black hole with confining electric potential in scalar-tensor description of regularized 4-dimensional Einstein-Gauss-Bonnet gravity
• Gravitational wave signal from massive gravity
• Strings Propagating in the 2+1 Dimensional Black Hole Anti de Sitter Spacetime
• Motion and Trajectories of Particles Around Three-Dimensional Black Holes
• Microscopic entropy of the charged BTZ black hole
• Non-Pertubative Quantum Corrections to a Born-Infeld Black Hole and its Information Geometry
• Gravitational Aharonov-Bohm effect due to noncommutative BTZ black hole
• Thermal fluctuations to thermodynamics of non-rotating BTZ black hole
• Three dimensional magnetic solutions in massive gravity with (non)linear field
• Quantum corrected thermodynamics of nonlinearly charged BTZ black holes in massive gravity's rainbow
• Accretion disks around a static black hole in $f(R)$ gravity
• Stability of remnants of Bardeen regular black holes in presence of thermal fluctuations
• Nonpropagation of tachyon on the BTZ black hole in type 0B string theory

Cited by in corpus (11)

• Quasiperiodic oscillations, weak field lensing and shadow cast around black holes in Symmergent gravity
• Quasinormal Modes and GUP-Corrected Hawking Radiation of BTZ Black Holes within Modified Gravity Frameworks
• Thermodynamic topology of Phantom AdS Black Holes in Massive Gravity
• Thermodynamics and Shadows of quantum-corrected Reissner-Nordström black hole surrounded by quintessence
• Ayón--Beato--García black hole coupled with a cloud of strings: thermodynamics, shadows and quasinormal modes
• Novel charged black hole solutions of Born-Infeld type: General properties, Smarr formula and Quasinormal frequencies
• Magnetic black holes within Einstein-AdS gravity coupled to nonlinear electrodynamics, extended phase space thermodynamics and Joule-Thomson expansion
• Schwarzschild black hole surrounded by a cavity and phase transition in the non-commutative gauge theory of gravity
• Einstein-AdS gravity coupled to nonlinear electrodynamics, magnetic black holes, thermodynamics in an extended phase space and Joule--Thomson expansion
• Thermodynamics, Shadow, and Quasinormal Modes of AdS Ayón--Beato--García Massive Black Hole
• Notes on solution phase space and BTZ black hole