Equivalence of JT Gravity and Near-extremal Black Hole Dynamics in Higher Derivative Theory
arXiv:2110.04272 · doi:10.1007/JHEP01(2022)124
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.
arXiv comment40 pages
References in corpus (44)
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Comments on the Sachdev-Ye-Kitaev model
- Charged AdS Black Holes and Catastrophic Holography
- Evanescent Black Holes
- Chaos in AdS holography
- The Spectrum in the Sachdev-Ye-Kitaev Model
- An Investigation of AdS Backreaction and Holography
- Anti-de Sitter Fragmentation
- Black Hole Entropy Function, Attractors and Precision Counting of Microstates
- Fermionic Localization of the Schwarzian Theory
- Exact Counting of Black Hole Microstates
- Beyond eta/s = 1/4pi
- Duality between Electric and Magnetic Black Holes
- Logarithmic Corrections to Schwarzschild and Other Non-extremal Black Hole Entropy in Different Dimensions
- AdS holography and the SYK model
- JT gravity as a matrix integral
- The statistical mechanics of near-extremal black holes
- On the Dynamics of Near-Extremal Black Holes
- The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral
- How Does a Fundamental String Stretch its Horizon?
- Asymptotic symmetries of AdS_2 and conformal group in d=1
- Quantum dilatonic gravity in d = 2,4 and 5 dimensions
- Conformal Symmetry Breaking and Thermodynamics of Near-Extremal Black Holes
- Causality, Unitarity, and the Weak Gravity Conjecture
- Jackiw-Teitelboim Gravity and Rotating Black Holes
- Non-singular four-dimensional black holes and the Jackiw-Teitelboim theory
- Stretching the Horizon of a Higher Dimensional Small Black Hole
- Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space
- Higher Derivative Corrections to Shear Viscosity from Graviton's Effective Coupling
- Higher Derivative Corrections to R-charged Black Holes: Boundary Counterterms and the Mass-Charge Relation
- Deformations of JT Gravity and Phase Transitions
- dilaton gravity from reductions of some nonrelativistic theories
- Classical and Semiclassical Properties of Extremal Black Holes with Dilaton and Modulus Fields
- Jackiw-Teitelboim Gravity in the Second Order Formalism
- Supergravity spectrum on AdS_2 x S^2
- Jackiw-Teitelboim Model Coupled to Conformal Matter in the Semi-Classical Limit
- On Black Holes in the Theory of Dilatonic Gravity Coupled to a Scalar Field
- One-Loop Renormalization of Higher-Derivative 2D Dilaton Gravity
- The large membrane paradigm for general four-derivative theory of gravity with a cosmological constant
- Gravitational perturbations as -deformations in 2D dilaton gravity systems
- On higher-derivative dilatonic gravity in two dimensions
- Higher-Derivative Corrections to Entropy and the Weak Gravity Conjecture in Anti-de Sitter Space
- Two-Dimensional Dilaton Gravity Theory and Lattice Schwarzian Theory
- Holographic JT gravity with quartic couplings
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- 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 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