Equivalence of JT Gravity and Near-extremal Black Hole Dynamics in Higher Derivative Theory

Abstract

Two derivative Jackiw Teitelboim gravity theory captures the near horizon dynamics of higher dimensional near extremal black holes, which is governed by a Schwarzian action at the boundary in the near horizon region. The partition function corresponding to this boundary action correctly gives the statistical entropy of the near extremal black hole. In this paper, we study the thermodynamics of spherically symmetric four dimensional near extremal black holes in presence of arbitrary perturbative four derivative corrections. We find that the near horizon dynamics is again captured by a JT like action with a particular namely square of Ricci scalar higher derivative modification. Effectively the theory is described by a boundary Schwarzian action which gets suitably modified due to the presence of the higher derivative interactions. Near extremal entropy, free energy also get corrected accordingly.

40 pages

References in corpus (9)

• An Investigation of AdS${}_2$ Backreaction and Holography
• Beyond eta/s = 1/4pi
• JT gravity as a matrix integral
• Causality, Unitarity, and the Weak Gravity Conjecture
• Higher Derivative Corrections to Shear Viscosity from Graviton's Effective Coupling
• Deformations of JT Gravity and Phase Transitions
• Jackiw-Teitelboim Gravity in the Second Order Formalism
• Gravitational perturbations as $T\bar{T}$-deformations in 2D dilaton gravity systems
• Holographic JT gravity with quartic couplings

Cited by in corpus (11)

• Revisiting Leading Quantum Corrections to Near Extremal Black Hole Thermodynamics
• The Entropy Shift and Extremality Shift at Zero Temperature
• Holographic complexity of Jackiw-Teitelboim gravity from Karch-Randall braneworld
• Action complexity of charged black holes with higher derivative interactions
• Aspects of $T\bar{T}+J\bar{T}$ deformed Schwarzian: From gravity partition function to late-time spectral form factor
• Boundary correlators and the Schwarzian mode
• Freudenthal duality of near-extremal black holes and Jackiw-Teitelboim gravity
• Late-Time Saturation of Black Hole Complexity
• Statistical Mechanics of Exponentially Many Low Lying States
• Classical Unattainability of Extremality in non-BPS D-brane Systems
• A note on the action with the Schwarzian at the stretched horizon