Thermodynamic duality between RN black hole and 2D dilaton gravity

Abstract

All thermodynamic quantities of the Reissner-Nordström (RN) black hole can be obtained from the dilaton and its potential of two dimensional (2D) dilaton gravity. The dual relations of four thermodynamic laws are also established. Furthermore, the near-horizon thermodynamics of the extremal RN black hole is completely described by the Jackiw-Teitelboim theory which is obtained by perturbing around the AdS${}_2$-horizon.

10 pages, 3 figures, version accepted by MPLA

References in corpus (19)

• Charged AdS Black Holes and Catastrophic Holography
• Evanescent Black Holes
• Dilaton Gravity in Two Dimensions
• Black hole thermodynamics and information loss in two dimensions
• Black Hole Evaporation in 1+1 Dimensions
• Relating black holes in two and three dimensions
• Observables for Two-Dimensional Black Holes
• AdS${}_2$/CFT${}_1$ correspondence and near-extremal black hole entropy
• Non-singular four-dimensional black holes and the Jackiw-Teitelboim theory
• Exact Four-Dimensional Dyonic Black Holes and Bertotti-Robinson Spacetimes in String Theory
• The Black Holes of a General Two-Dimensional Dilaton Gravity Theory
• The Causal Structure of Two-Dimensional Spacetimes
• No Hawking-Page phase transition in three dimensions
• New attractor mechanism for spherically symmetric extremal black holes
• Exact Relativistic Two-Body Motion in Lineal Gravity
• Quantum evolution of near-extremal Reissner-Nordstrom black holes
• Acoustic analogs of two-dimensional black holes
• Thermodynamics of Two Dimensional Black Holes
• Integrable models and degenerate horizons in two-dimensional gravity

Cited by in corpus (10)

• Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes
• Holographic dark energy in Brans-Dicke cosmology with chameleon scalar field
• Thermodynamics of regular black hole
• Thermodynamics of Einstein-Born-Infeld black holes in three dimensions
• A Commentary on Ruppeiner Metrics for Black Holes
• Ruppeiner geometry and 2D dilaton gravity in the thermodynamics of black holes
• Phase transition between non-extremal and extremal Reissner-Nordström black holes
• Dilaton gravity approach to three dimensional Lifshitz black hole
• Thermodynamics of acoustic black holes in two dimensions
• Nonpropagation of massive mode on AdS2 in topologically massive gravity