Quantum Corrections to the Thermodynamics of Charged 2-D Black Holes

Abstract

We consider one-loop quantum corrections to the thermodynamics of a black hole in generic 2-dimensional dilaton gravity. The classical action is the most general diffeomorphism invariant action in 1+1 space-time dimensions that contains a metric, dilaton, and Abelian gauge field, and having at most second derivatives of the fields. Quantum corrections are introduced by considering the effect of matter fields conformally coupled to the metric and non-minimally coupled to the dilaton. Back reaction of the matter fields (via non-vanishing trace conformal anomaly) leads to quantum corrections to the black hole geometry. Quantum corrections also lead to modifications in the gravitational action and hence in expressions for thermodynamic quantities. One-loop corrections to both geometry and thermodynamics (energy, entropy) are calculated for the generic dilaton theory. This formalism is applied to a charged black hole in spherically symmetric gravity and to a rotating BTZ black hole.

36 pages, Latex The calculation has been extended to include general matter-dilaton coupling. Several references have been added

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• Effects of Thermal Fluctuations on Non-minimal Regular Magnetic Black Hole
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• Effect of Thermal Fluctuations on a Charged Dilatonic Black Saturn
• Corrections Terms for the Thermodynamics of a Black Saturn
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• Logarithmic corrected Van der Waals black holes in higher dimensional AdS space
• PV criticality of the second order quantum corrected Horava-Lifshitz black hole
• Logarithmic correction to the Cardy-Verlinde formula in Topological Reissner-Nordström de Sitter Space
• The lower bound violation of shear viscosity to entropy ratio due to logarithmic correction in STU model
• Thermal fluctuations to thermodynamics of non-rotating BTZ black hole
• Thermodynamic Variables of First-Order Entropy Corrected Lovelock-AdS Black Holes : P-V Criticality Analysis
• Quantum-Corrected Cardy Entropy for Generic 1+1-Dimensional Gravity
• Quantum Fluctuations from Thermal Fluctuations in Jacobson Formalism
• Thermodynamic properties of Quantum-Corrected AdS Black Hole with Phantom Global Monopoles
• Thermodynamics of Einstein-Euler-Heisenberg Black Holes with Thermal Fluctuations and Nonlinear Electromagnetic Fields
• Modelling the Evaporation of Non-singular Black Holes
• Geometrothermodynamic Analysis and $P$-$V$ criticality of Higher Dimensional Charged Gauss-Bonnet Black Holes With First Order Entropy Correction
• Quantum-Corrected Entropy for 1+1-Dimensional Gravity Revisited
• Violation of the Holographic Principle in the Loop Quantum Gravity
• Regular self-consistent geometries with infinite quantum backreaction in 2D dilaton gravity and black hole thermodynamics: unfamiliar features of familiar models
• The ultrarelativistic limit of 2D dilaton gravity and its energy momentum tensor
• Near-extremal and extremal quantum-corrected two-dimensional charged black holes