Non-Pertubative Quantum Corrections to a Born-Infeld Black Hole and its Information Geometry

Abstract

We study the non-perturbative quantum corrections to a Born-Infeld black hole in a spherical cavity. These quantum corrections produce a non-trivial short distances modification to the relation between the entropy and area of this black hole. The non-perturbative quantum correction appears as an exponential term in the black hole entropy. This in turn modifies the thermodynamics of a given system, for example reduced value of the Helmholtz free energy. Moreover, the first law of black hole thermodynamics modified due to quantum corrections. We also investigate the effect of such non-perturbative corrections on the information geometry of this system. This is done using some famous information metrics.

17 pages, 15 figures. Accepted in Class. Quantum Grav

References in corpus (21)

• Geometrothermodynamics
• Nonperturbative black hole entropy and Kloosterman sums
• Absence of Black Holes at LHC due to Gravity's Rainbow
• Thermodynamics of a Sufficient Small Singly Spinning Kerr-AdS Black Hole
• Exponential corrections to black hole entropy
• A Farey tale for N=4 dyons
• No Existence of Black Holes at LHC Due to Minimal Length in Quantum Gravity
• Thermodynamics of higher dimensional black holes with higher order thermal fluctuations
• Shear Viscosity from AdS Born-Infeld Black Holes
• Evaporation of large black holes in AdS: coupling to the evaporon
• Quantum Fluctuations of a BTZ Black Hole in Massive Gravity
• Charged Black Hole in a Canonical Ensemble
• Thermal Fluctuations in a Hyperscaling Violation Background
• Classical and quantum gravity of brane black holes
• Thermodynamics and Thermodynamic geometry of Park black hole
• Consequences of Thermal Fluctuations of Well-Known Black Holes in Modified Gravity
• Thermodynamics of Large AdS Black Holes
• Thermodynamics of Born-Infeld Black Holes
• Thermodynamic Information Geometry and Complexity Growth of Warped AdS Black Hole and the WAdS${}_3$/CFT${}_2$ Correspondence
• Virtual Black Holes, Remnants and the Information Paradox
• A Note on Self-gravitating Radiation in AdS Spacetime

Cited by in corpus (5)

• Non-perturbative correction to the Horava-Lifshitz black hole thermodynamics
• Magnetic black holes within Einstein-AdS gravity coupled to nonlinear electrodynamics, extended phase space thermodynamics and Joule-Thomson expansion
• Einstein-AdS gravity coupled to nonlinear electrodynamics, magnetic black holes, thermodynamics in an extended phase space and Joule--Thomson expansion
• Exponential correction to Friedmann equations
• Hawking radiation as a manifestation of spontaneous symmetry breaking