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 (1)

• New attractor mechanism for spherically symmetric extremal black holes

Cited by in corpus (4)

• Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes
• Thermodynamics of Einstein-Born-Infeld black holes in three dimensions
• Ruppeiner geometry and 2D dilaton gravity in the thermodynamics of black holes
• Phase transition between non-extremal and extremal Reissner-Nordström black holes