One-Loop Corrected Thermodynamics of the Extremal and Non-Extremal Spinning BTZ Black Hole

Abstract

We consider the one-loop corrected geometry and thermodynamics of a rotating BTZ black hole by way of a dimensionally reduced dilaton model. The analysis begins with a comprehensive study of the non-extremal solution after which two different methods are invoked to study the extremal case. The first approach considers the extremal limit of the non-extremal calculations, whereas the second treatment is based on the following conjecture: extremal and non-extremal black holes ae qualitatively distinct entities. We show that only the latter method yields regularity and consistency at the one-loop level. This is suggestive of a generalized third law of thermodynamics that forbids continuous evolution from non-extremal to extremal black hole geometries.

26 pages, Latex, some new references added

References in corpus (6)

• Nonthermal nature of incipient extremal black holes
• The Dimensional-Reduction Anomaly
• Two-dimensional effective action for matter fields coupled to the dilaton
• Evidence for a null entropy of extremal black holes
• Quantum corrections for the Reisner-Nordstrom black hole
• The Dimensional-Reduction Anomaly in Spherically Symmetric Spacetimes

Cited by in corpus (39)

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• General Logarithmic Corrections to Black Hole Entropy
• Thermal Fluctuations in a Charged AdS Black Hole
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• Thermodynamics of Black Holes in Two (and Higher) Dimensions
• Black Hole Thermodynamics in MOdified Gravity (MOG)
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• Thermal Fluctuations and Black Hole Entropy
• Radiation via Tunneling in the Charged BTZ Black Hole
• P-V criticality of first-order entropy corrected AdS black holes in massive gravity
• Quantum gravity effects on Hořava-Lifshitz black hole
• Entropy Corrections for Schwarzschild and Reissner-Nordström Black Holes
• Hawking-Page phase transition in BTZ black hole revisited
• Fake Supersymmetry and Extremal Black Holes
• Quantum corrections to thermodynamics of quasitopological black holes
• Instability of Extremal Relativistic Charged Spheres
• Thermal Fluctuations in a Hyperscaling Violation Background
• Effect of Thermal Fluctuations on a Charged Dilatonic Black Saturn
• Corrections Terms for the Thermodynamics of a Black Saturn
• Logarithmic correction to the Cardy-Verlinde formula in Achucarro-Oritz Black Hole
• 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
• Bouncing Cosmologies and Self-Gravitational Corrections
• 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 Fluctuations from Thermal Fluctuations in Jacobson Formalism
• Non-perturbative correction to the Horava-Lifshitz black hole thermodynamics
• 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
• Geometrothermodynamic Analysis and $P$-$V$ criticality of Higher Dimensional Charged Gauss-Bonnet Black Holes With First Order Entropy Correction
• Quantum corrections for BTZ black hole via 2D reduced model
• 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
• Questions of Stability near Black Hole Critical Points
• Thermal Fluctuations Effects on Reissner-Nordström-AdS Black Hole
• Geometrical and hydrodynamic aspects of five-dimensional Schwarzschild black hole
• Horizon Dynamics of a BTZ Black Hole